Hi! I havn't verified this, but for a solution for it to stop touching while typing, check and see if the settings are in system, preferences, mouse, or something like that, and there should be a way to check in a "disable while typing" or something like that. If you want a more permanent way to stop it, you could try doing this.
Open terminal
type in this
xinput list
That will show you all the inputs for your computer, you should look for the id that looks closest to yours, like touchpad
Then type in this
xinput set-prop 15 "Device Enabled" 0
Substitute 15 for what ever number you found your touchpad at
If this doesn't work, let me know and I'll see what I can do to help, like getting a laptop and seeing if I can replicate it

Good luck!
For more information:
https://help.ubuntu.com/community/SynapticsTouchpad