Q: My iPhone 6 is locked with a passcode and the touchscreen is not responding - have restarted multiple times

Hello lchristmas,

Thank you for using Apple Support Communities. 

I see that you are not able to enter the passcode to unlock your iPhone because the touchscreen is not responding.  I would suggest the steps in the following two articles:

First, this one: 

If the screen on your iPhone, iPad, or iPod touch doesn't respond to touch

If you are still having problems, then try the steps here:

If your iPhone, iPad, or iPod touch doesn't respond or won't turn on

Cheers