Swift 4 code.
May be I'm the only one who needs to set several links and color the words in one message. I created an AttribTextHolder class to accumulate all information about text inside this holder and easily pass it between objects to set text to UITextView somewhere deep inside a controller.
class AttribTextHolder {
        enum AttrType {
            case link
            case color
        }
        let originalText: String
        var attributes: [(text: String, type: AttrType, value: Any)]
        init(text: String, attrs: [(text: String, type: AttrType, value: Any)] = [])
        {
            originalText = text
            attributes = attrs
        }
        func addAttr(_ attr: (text: String, type: AttrType, value: Any)) -> AttribTextHolder {
            attributes.append(attr)
            return self
        }
        func setTo(textView: UITextView)
        {
            let style = NSMutableParagraphStyle()
            style.alignment = .left
            let attributedOriginalText = NSMutableAttributedString(string: originalText)
            for item in attributes {
                let arange = attributedOriginalText.mutableString.range(of: item.text)
                switch item.type {
                case .link:
                    attributedOriginalText.addAttribute(NSAttributedString.Key.link, value: item.value, range: arange)
                case .color:
                    var color = UIColor.black
                    if let c = item.value as? UIColor { color = c }
                    else if let s = item.value as? String { color = s.color() }
                    attributedOriginalText.addAttribute(NSAttributedString.Key.foregroundColor, value: color, range: arange)
                default:
                    break
                }
            }
            let fullRange = NSMakeRange(0, attributedOriginalText.length)
            attributedOriginalText.addAttribute(NSAttributedString.Key.paragraphStyle, value: style, range: fullRange)
            textView.linkTextAttributes = [
                kCTForegroundColorAttributeName: UIColor.blue,
                kCTUnderlineStyleAttributeName: NSUnderlineStyle.styleSingle.rawValue,
            ] as [String : Any]
            textView.attributedText = attributedOriginalText
        }
 }
Use it like this:
 let txt = AttribTextHolder(text: "To find out more visit our website or email us your questions")
            .addAttr((text: "our website", type: .link, "http://example.com"))
            .addAttr((text: "our website", type: .color, "#33BB22"))
            .addAttr((text: "email us", type: .link, "mailto:us@example.com"))
            .addAttr((text: "email us", type: .color, UIColor.red))
 ....
 ....
 txt.setTo(textView: myUITextView)
Also in this code I use simple String extension to convert String hex values into UIColor objects
extension String {
/// Converts string color (ex: #23FF33) into UIColor
func color() -> UIColor {
    let hex = self.trimmingCharacters(in: CharacterSet.alphanumerics.inverted)
    var int = UInt32()
    Scanner(string: hex).scanHexInt32(&int)
    let a, r, g, b: UInt32
    switch hex.characters.count {
    case 3: // RGB (12-bit)
        (a, r, g, b) = (255, (int >> 8) * 17, (int >> 4 & 0xF) * 17, (int & 0xF) * 17)
    case 6: // RGB (24-bit)
        (a, r, g, b) = (255, int >> 16, int >> 8 & 0xFF, int & 0xFF)
    case 8: // ARGB (32-bit)
        (a, r, g, b) = (int >> 24, int >> 16 & 0xFF, int >> 8 & 0xFF, int & 0xFF)
    default:
        (a, r, g, b) = (255, 0, 0, 0)
    }
    return UIColor(red: CGFloat(r) / 255, green: CGFloat(g) / 255, blue: CGFloat(b) / 255, alpha: CGFloat(a) / 255)
  }
}