Wow, 160 at those speeds, careful.
Fast twist, long bearing surfaced bullets add up to PRESSURE. Slow powders in order. You might do as well or better with a 7mm bore, a 7mag with get you there, and with good bullets, I am not sure you are gaining much using 160 6.5 bullets. There are many controlled expanding premium 140's out there and I think some may do as well or better for hunting. I assume that is your purpose.
Good luck, Be safe! Anything over '06 or 284 case is overbore no doubt. Some have used 300 weatherby cases I believe, check out what shooters who hunt game in Pennslyvania use for their 1000 yd shots or so. Crazy distances, and they use 140-142's. These are the elite guys, not that I would attempt it.