I want to access a running docker via ssh, by name.
- How can I ping to the docker?
 - How can I connect to the docker using ssh?
 - Bonus: How can I connect to the docker, using ssh, from a different computer than the one it runs on?
 
I am aware that it is considered better to access via docker exec, but this does not work for me, as I have to use ssh for my case [I am trying to use clion's fully remote  mode on a remote hosted docker via ssh tunneling. Their docs only support remote non-docker, or local docker].
This is my dockerfile
ARG VER=
ARG TOOL_DOCKER=
ARG BASE_IMAGE=
ARG TOOL_DIR=
FROM devsrv:5000/${TOOL_DOCKER}:${VER} AS tool_base
ARG VER=
ARG BASE_IMAGE=
ARG TOOL_DIR=
FROM ${BASE_IMAGE}
ARG VER=
ARG BASE_IMAGE=
ARG TOOL_DOCKER=
ARG TOOL_DIR=
ARG UNAME=
ARG UID=
USER root
COPY launchpad.key /tmp/launchpad.key
RUN apt-get update && \
    apt-get install -y software-properties-common && \
    apt-key add /tmp/launchpad.key && \
    add-apt-repository -y ppa:git-core/ppa && apt-get update && \
    apt-get install -y git libxt-dev libxtst6 libnss3 libnspr4 \
        libgbm-dev libxss-dev libasound2 libatk-bridge2.0-0 \
        libcanberra-gtk-module libcanberra-gtk3-module valgrind sudo \
        libx11-xcb-dev && \
    apt-get clean && \
    rm -rf /var/lib/apt/lists/* && \
    rm -rf /tmp/*
RUN groupadd --system ${UNAME} --gid ${UID} && \
    useradd --uid ${UID} --system --gid ${UNAME} --home-dir /home/${UNAME} --create-home --comment "Docker image user" ${UNAME} && \
    chown -R ${UNAME}:${UNAME} /home/${UNAME} && \
    usermod -aG sudo ${UNAME} && \
    echo "${UNAME}  ALL=(ALL) NOPASSWD:ALL" | sudo tee /etc/sudoers.d/${UNAME}
COPY --from=tool_base ${TOOL_DIR} ${TOOL_DIR}
and this is the gist of how it is run
BUILD_CMDLINE="docker build \
    --build-arg UID=${UID} \
    --build-arg UNAME=${USER} \
    --build-arg VER=${VERSION} \
    --build-arg BASE_IMAGE=${BASE_DOCKER} \
    --build-arg TOOL_DOCKER=$(${DIR}/impl/known-tools.py docker ${TOOL}) \
    --build-arg TOOL_DIR=$(${DIR}/impl/known-tools.py tool-dir ${TOOL}) \
    -f ${DIR}/impl/personal-tool.dockerfile -t ${IMAGE} ${DIR}/impl"
echo "Building docker using: ${BUILD_CMDLINE}"
${BUILD_CMDLINE} || exit 1
# Need to give the container access to your windowing system
xhost +
echo $HOME
echo ${USER_ID}:${GROUP_ID}
RUN_CMD="docker run --group-add ${DOCKER_GROUP_ID} \
                --env HOME=${HOME} \
                --env="DISPLAY" \
                --entrypoint /bin/bash \
                --interactive \
                --net "host" \
                --rm \
                --tty \
                --user=${USER_ID}:${GROUP_ID} \
                --volume ${HOME}:${HOME} \
                --volume /isilon:/isilon \
                --volume /mnt:/mnt \
                $(cat ${HOME}/personal-uv-docker-flags) \
                -v "${HOME}/.Xauthority:${HOME}/.Xauthority:rw" \
                --volume /var/run/docker.sock:/var/run/docker.sock \
                --workdir ${HOME} \
                --cap-add sys_ptrace \
                -p127.0.0.1:2222:22 \
                --name my_docker \
                ${IMAGE} $(${DIR}/impl/known-tools.py cmd-line ${TOOL})"
echo "Running docker using: ${RUN_CMD}"
${RUN_CMD}
When running this docker, doing docker ps gives
CONTAINER ID        IMAGE                                                        COMMAND                  CREATED             STATUS              PORTS               NAMES
a5f15b6f5e7b        clion-professional_devsrv_5000/acq-base-docker_latest:noam   "/bin/bash /opt/clio…"   18 minutes ago      Up 18 minutes                           my_docker
If information is missing please say so and I will edit the question.
Edit:
Edited the dockerfile to
COPY launchpad.key /tmp/launchpad.key
RUN apt-get update && \
    apt-get install -y software-properties-common && \
    apt-get install -y openssh-client && \
    apt-get install -y openssh-server && \
    systemctl enable sshd && \
    apt-key add /tmp/launchpad.key && \
    add-apt-repository -y ppa:git-core/ppa && apt-get update && \
    apt-get install -y git libxt-dev libxtst6 libnss3 libnspr4 \
        libgbm-dev libxss-dev libasound2 libatk-bridge2.0-0 \
        libcanberra-gtk-module libcanberra-gtk3-module valgrind sudo \
        libx11-xcb-dev && \
    apt-get clean && \
    rm -rf /var/lib/apt/lists/* && \
    rm -rf /tmp/*
RUN groupadd --system ${UNAME} --gid ${UID} && \
    useradd --uid ${UID} --system --gid ${UNAME} --home-dir /home/${UNAME} --create-home --comment "Docker image user" ${UNAME} && \
    chown -R ${UNAME}:${UNAME} /home/${UNAME} && \
    usermod -aG sudo ${UNAME} && \
    echo "${UNAME}  ALL=(ALL) NOPASSWD:ALL" | sudo tee /etc/sudoers.d/${UNAME}
COPY --from=tool_base ${TOOL_DIR} ${TOOL_DIR}
USER {UNAME}
output:
...
Get:11 http://archive.ubuntu.com/ubuntu xenial/main amd64 ssh-import-id all 5.5-0ubuntu1 [10.2 kB]
debconf: delaying package configuration, since apt-utils is not installed
Fetched 1003 kB in 0s (1184 kB/s)
Selecting previously unselected package libwrap0:amd64.
(Reading database ... 25945 files and directories currently installed.)
Preparing to unpack .../libwrap0_7.6.q-25_amd64.deb ...
Unpacking libwrap0:amd64 (7.6.q-25) ...
Selecting previously unselected package ncurses-term.
Preparing to unpack .../ncurses-term_6.0+20160213-1ubuntu1_all.deb ...
Unpacking ncurses-term (6.0+20160213-1ubuntu1) ...
Selecting previously unselected package openssh-sftp-server.
Preparing to unpack .../openssh-sftp-server_1%3a7.2p2-4ubuntu2.10_amd64.deb ...
Unpacking openssh-sftp-server (1:7.2p2-4ubuntu2.10) ...
Selecting previously unselected package openssh-server.
Preparing to unpack .../openssh-server_1%3a7.2p2-4ubuntu2.10_amd64.deb ...
Unpacking openssh-server (1:7.2p2-4ubuntu2.10) ...
Selecting previously unselected package python3-pkg-resources.
Preparing to unpack .../python3-pkg-resources_20.7.0-1_all.deb ...
Unpacking python3-pkg-resources (20.7.0-1) ...
Selecting previously unselected package python3-chardet.
Preparing to unpack .../python3-chardet_2.3.0-2_all.deb ...
Unpacking python3-chardet (2.3.0-2) ...
Selecting previously unselected package python3-six.
Preparing to unpack .../python3-six_1.10.0-3_all.deb ...
Unpacking python3-six (1.10.0-3) ...
Selecting previously unselected package python3-urllib3.
Preparing to unpack .../python3-urllib3_1.13.1-2ubuntu0.16.04.4_all.deb ...
Unpacking python3-urllib3 (1.13.1-2ubuntu0.16.04.4) ...
Selecting previously unselected package python3-requests.
Preparing to unpack .../python3-requests_2.9.1-3ubuntu0.1_all.deb ...
Unpacking python3-requests (2.9.1-3ubuntu0.1) ...
Selecting previously unselected package tcpd.
Preparing to unpack .../tcpd_7.6.q-25_amd64.deb ...
Unpacking tcpd (7.6.q-25) ...
Selecting previously unselected package ssh-import-id.
Preparing to unpack .../ssh-import-id_5.5-0ubuntu1_all.deb ...
Unpacking ssh-import-id (5.5-0ubuntu1) ...
Processing triggers for man-db (2.7.5-1) ...
Processing triggers for systemd (229-4ubuntu21.16) ...
Setting up libwrap0:amd64 (7.6.q-25) ...
Setting up ncurses-term (6.0+20160213-1ubuntu1) ...
Setting up openssh-sftp-server (1:7.2p2-4ubuntu2.10) ...
Setting up openssh-server (1:7.2p2-4ubuntu2.10) ...
debconf: unable to initialize frontend: Dialog
debconf: (TERM is not set, so the dialog frontend is not usable.)
debconf: falling back to frontend: Readline
Creating SSH2 RSA key; this may take some time ...
2048 SHA256:Wlq9V+siHa4herOkUxo+f7Gsy+Dr5obNzd21YlvcTxw root@20cd14a69430 (RSA)
Creating SSH2 DSA key; this may take some time ...
1024 SHA256:PHYTyaGyXHO7N5V3VOGoFcBY23FDBydEcCdrrI01ZpU root@20cd14a69430 (DSA)
Creating SSH2 ECDSA key; this may take some time ...
256 SHA256:/T4agN5tch9KKW3+vp7jdFhGBGHtZ2lA7rD9BFk/vfM root@20cd14a69430 (ECDSA)
Creating SSH2 ED25519 key; this may take some time ...
256 SHA256:xm6KylI0biBsq1imRWYuTecinrwTAlFE+ekVlWV8G3o root@20cd14a69430 (ED25519)
invoke-rc.d: could not determine current runlevel
invoke-rc.d: policy-rc.d denied execution of start.
Setting up python3-pkg-resources (20.7.0-1) ...
Setting up python3-chardet (2.3.0-2) ...
Setting up python3-six (1.10.0-3) ...
Setting up python3-urllib3 (1.13.1-2ubuntu0.16.04.4) ...
Setting up python3-requests (2.9.1-3ubuntu0.1) ...
Setting up tcpd (7.6.q-25) ...
Setting up ssh-import-id (5.5-0ubuntu1) ...
Processing triggers for libc-bin (2.23-0ubuntu11) ...
Processing triggers for systemd (229-4ubuntu21.16) ...
Operation failed: Too many levels of symbolic links
The command '/bin/sh -c apt-get update &&     apt-get install -y software-properties-common &&     apt-get install -y openssh-client &&     apt-get install -y openssh-server &&     systemctl enable sshd &&     apt-key add /tmp/launchpad.key &&     add-apt-repository -y ppa:git-core/ppa && apt-get update &&     apt-get install -y git libxt-dev libxtst6 libnss3 libnspr4         libgbm-dev libxss-dev libasound2 libatk-bridge2.0-0         libcanberra-gtk-module libcanberra-gtk3-module valgrind sudo         libx11-xcb-dev &&     apt-get clean &&     rm -rf /var/lib/apt/lists/* &&     rm -rf /tmp/*' returned a non-zero code: 1
With the highlighted errors being
invoke-rc.d: could not determine current runlevel
invoke-rc.d: policy-rc.d denied execution of start.
and
Operation failed: Too many levels of symbolic links