350gr. bullets shoot well in my .38, but it has a 12" twist. I would not expect it to shoot as well with a 360gr. bullet as the 350gr. are deemed to be at that edge. In a 16" twist .38,
I think you will have better results with a 300gr. bullet.
Greenhills formula ("for cannon") as originally presented, shows the LONGEST projectile that will shoot in THAT rate of twist. With a difference of only 10 thousandths of an inch between
the longest possible and yours, you are on the edge of instability right off the bat.
A shorter bullet - 280gr. to 300gr. - about 1" even would be a nice weight and much better length for a 16" twist.
Transonic speed zones (just above and just below SpeedOSound as Yeager found out) cause instability in EVERYTHING. Flat bases projectiles are most stable
on the average when passing through these zones.
The slight yaw or tipping means that the bullets are not completely stable - YET - OR they may be becoming unstable due to the velocity loss and never will be stable. Thus, a shorter
bullet is needed. A shorter bullet will certainly help & by being lighter, will have higher vel. which will improve stability instantly in this slow twist (as far as .38 cal rifles are concerned).
This one would likely work better. Trying the longer, heavier bullet first- at 300 or 400yards might be a good test. My guess, is by 400, they are going sideways.
https://www.buffaloarms.com/381-300-grain-money-1-cavity-bullet-mould-jim381300m3