If these are truly unintentional touches, as in, you were not touching the bar at all and it registered a key press, then you probably have a hardware issue. I just replaced a machine that would self press the touch bar on the right side when putting any sort of pressure (like resting your palms) to the right of the track pad.
Maybe they should have come up with a way of requiring a press to active buttons on the touchbar.
It got so frustrating that I gave up and added loads of whitespace to the far right side of the bar. It looks weird having a big chunk of empty space there, but it has dramatically reduced my accidental activations.
At this point though, almost two months in, I'm just apathetic towards the bar. I tried to get used to the 'app contexts' but it felt too forced for me. So now it's just a function bar with a bad UX. I rebound Caps to escape and got used to it because the touch escape, even with the extended hitbox, feels extremely unpleasant to use.
I'm hoping someone figures out a way to run an app that takes over the bar even when not in focus. I'd quite like, for example, to have a mini version of iStat Menus on it, the currently playing track, or some other cute widget.
I know the above is not how Apple intend the touch bar to be used (as a second screen), but I'd sure find it more useful than what it does now!