You have a powerful PC setup. Must of cost a small fortune (-: !
Which Windows version are you using?
Have you checked to see if anything is overheating? Your PSU Outputs are correct?
Try stress testing your PC to see if it fails any tests. I like using OCCT since it also tests the PSU.
During the testing keep an eye on Temperatures, voltages, and Fan speeds.
So basically from what I understand while you are using Adobe Premiere and you open or start another app that interfaces with Adobe your PC freezes or crashes?
Any errors when it crashes or freezes?
Check Windows Event Viewer under "Error" and see if any concerns Adobe.
Also run in a elevated Command Prompt SFC /scannow to check your Windows integrity?
Try running DXDIAG.exe and save the file to your desktop. In the last category it will show you all the files or apps that are having issues.
Did you have this problem when you first installed Adobe Premiere or did it just recently start?
Could be a Windows Update or driver that isn't compatible 100% with Adobe or maybe Adobe app itself needs to be updated or upgraded.
I presume you have opened a Adobe Support ticket or opened a thread at Adobe Forums. If so what did they say?