I have shot 100gr projectiles in multiple Tikka's with their standard 10 twist over the past 15 years or so. I (and my sons) have taken many mule deer with these heavier-than-suggested bullets with no issues.
I would say that I have previously limited my kids hunting distances to 200 yards or less, so stability was never an issue in the field.
As has previously been mentioned, the 100's are marginally stable out of these bores, and I think they would open up a decent amount beyond 250 yards. In no way is any part of this message a recommendation for you to hunt - especially at any real distance - with 100 grainers, but they should perform "ok" out to 200 - or slightly farther.
I was fortunate enough to take a deer 4 years ago at 330 yards with our then-standard 100 gr bullet/load, but would likely (definitely) not take that shot with that load again. I had no issues recovering the deer, but given the distances that I like to hunt deer, there are certainly FAR better bullets to choose for my needs.
Over the years I have shot these rifles extensively with factory loads and several handloads utilizing 100 grain bullets from different manufacturers. I have since worked up some phenomenal hand-loadings in the 85 grain range that will still punch large Colorado muley's, and I do not need to worry about stability at distance.
The 10 twist Tikka's certainly prefer the 60-90 grain bullets, and I think that you will have much better luck with these lighter projectiles out of your rifle.