Hi there!
I have brand new Surface Pro 4 i5/4/128, that gets phantom touches in the exact same spot (slightly to the right of the centre of the screen) every few seconds.
I've tried:
recalibrating the display
doing a reset multiple times from the stock image, cloud image, and an image from the ms support page
doing a clean reinstall of Windows 10
zeroing the entire SSD and installing Windows 10 from an iso
The phantom touches start when the pen is paired with Windows. After that, disabling Bluetooth and unpairing the pen have no effect. Note that these are touches associated with that of a finger, i.e. it shows the translucent circle with a ripple in it. It is not falsely detecting pen touches.
The only workaround I've found so far is to disable devices (in device manager) that provide pen or touch input, only allowing one of the two input methods. But this almost makes the Surface a pointless device, so I'm stuck.
I've wasted so many hours and am completely at a loss as to what to do next, so thanks to anyone that has any suggestions as to how this could be fixed.