I started using 168 grain TSX bullets in my .300 Weatherby when I built it in 2009. Those bullets worked great on elk here in Montana, and exotics in Texas. A few years later I switched to 168 grain TTSX bullets as I thought they grouped a little better in my rifle. Those bullets also worked great on a Montana bull elk, a hunt in New Zealand, and multiple hunts in Africa.
Several years ago I put a Leupold scope with their CDS dial on my .300 Wby and I worked up a load with the 180 grain TTSX bullets and had Leupold cut a custom CDS turret for that load. That is the only bullet that I now hunt with in my .300 Wby.
If I was to hunt with a Barnes bullet in my .308 Win or a .30-06 I would use which ever 168 grain TSX or TTSX bullet shot best in that rifle.
