Does it do that without the TP installed?
That's why I cut off my barrel band. If it's good enough for BSA to leave off the barrel band, and this ismade by BSA, then... Plenty rugged without. Mine pulled the barrel down a quite a bit. I would like to find out the Oring sizes for the fill block and internals!
JUst to mention a couple of odd things that have happened...not that they evidently are common.One Hatsan never could get it's breech to fit flat to the tube. TP or no TP, it was lifting one end or the other (depending on how it was tightened). I "cheated" and never really did the work to fix it "right" (layout blue..spotting it in...hitting the high points...repeat/repeat/repeat). With the barrel into the reciever, figured out it was most in line with the air tube with the front tight and the rear attaching screw just snug. So I just shimmed the rear of the receiver until I could tighten all the screws tight and left it alone (and it still shoots well years later).HAve pulled barrles and rolled them across a real flat surface (OK..not like lab-grade flat...more like plate glass flat) and found the barrels to be cock eyed. Likely not your problem as you've rotated the barrel.Retention screws that directly touch the barrel (like most of them) are subjecxt to the "slack" tolerances of the fit of the barrel to the receiver.The ones with o-rings give the illusion of tightness,but the o-rings can be compressed by the screws unevenly.