This enables UITextView to be editable when being data detectable. Just set isEditableWhenBeingDataDetectable to true.

UITextView+isEditableWhenBeingDataDetectable.swift

//
//  UITextView+isEditableWhenBeingDataDetectable.swift
//
//  Created by Li-Heng Hsu on 15/05/2018.
//  Copyright © 2018 narrativesaw. All rights reserved.
//

import UIKit

extension UITextView {
    
    @objc private func didReceiveTap(_ sender: UITapGestureRecognizer) {
        guard sender.view === self else { return }
        let location = sender.location(in: self)
        guard let position = closestPosition(to: location) else { return }
        
        let styleDictionary = textStyling(at: position, in: .forward) ?? [:]
        
        openURL: if let url = styleDictionary[NSAttributedStringKey.link.rawValue] as? URL {
            let location = offset(from: beginningOfDocument, to: position)
            if delegate?.textView?(self, shouldInteractWith: url, in: NSRange(location: location, length: 0), interaction: .invokeDefaultAction) == false {
                break openURL
            }
            
            UIApplication.shared.open(url)
        } else if let range = textRange(from: position, to: position) {
            isEditable = true
            becomeFirstResponder()
            selectedTextRange = range
        }
    }
    
    @IBInspectable
    var isEditableWhenBeingDataDetectable: Bool {
        get {
            return gestureRecognizers?.contains { $0 is LHTextViewEditableWhenBeingDataDetactableEnabler } == true
        }
        set {
            if newValue {
                if !isEditableWhenBeingDataDetectable {
                    let enabler = LHTextViewEditableWhenBeingDataDetactableEnabler(target: self, action: #selector(didReceiveTap))
                    addGestureRecognizer(enabler)
                }
            } else {
                if let enabler = gestureRecognizers?.first(where: { $0 is LHTextViewEditableWhenBeingDataDetactableEnabler }) {
                    removeGestureRecognizer(enabler)
                }
            }
        }
    }
    
}

private class LHTextViewEditableWhenBeingDataDetactableEnabler: UITapGestureRecognizer {
    
    override init(target: Any?, action: Selector?) {
        super.init(target: target, action: action)
        delegate = self
        NotificationCenter.default.addObserver(self, selector: #selector(didEndEditing), name: .UITextViewTextDidEndEditing, object: nil)
    }
    
    deinit {
        NotificationCenter.default.removeObserver(self)
    }
    
    @objc private func didEndEditing(notification: Notification) {
        guard (notification.object as AnyObject) === view else { return }
        (view as? UITextView)?.isEditable = false
    }
    
}

extension LHTextViewEditableWhenBeingDataDetactableEnabler: UIGestureRecognizerDelegate {
    
    func gestureRecognizerShouldBegin(_ gestureRecognizer: UIGestureRecognizer) -> Bool {
        guard let textView = gestureRecognizer.view as? UITextView else { return false }
        return !textView.isEditable
    }
    
}