The brand of brass you use is of consequence to the internal capacity. I use Remington, Win, and PMC, with a load for each brand of brass. I use 56 g with 180g Nosler ballistic tips, and 57-58 g with IMR 4350 in Rem cases, using 168-grain bullets. Barrels can vary in their preferences. In another barrel, I load 58g of H4350 with a 180g Ballistic Tip, and it is a hot load, but it yields the most accuracy in the barrel. Lapua brass will work in most factory chambers, thoughest brass there is.
Hunt club, the vertical in your group indicates that more powder is needed. I would shoot two additional groups, adding 0.5 and 1.0g more than that load, just for fun.
Norma, Nosler, and federal brass can show pressure signs quicker than Rem and Win brass, in my experience, and I avoid it like the plague.
I want to find pressure with my TTSX, and I start .050 off the lands. I will pick a medium load and increase it by 0.5 g at a time, using only one shot, until I find the optimal pressure. I want to find the max load. When I find the maximum load, I back off 2.5g and start working up in 3-shot groups, I will find the most accurate load darn quick with few shots fired. If that particular powder does not shoot a bug hole, I change powders.
Brother and I shoot 130g TTSX in a couple of 308s and 06s. The load is very fast at 3100+ and kills well. We have never found a 130g TTSX in a deer's body.
If you ever see any Lake City Match brass for sale in '06 that is unfired, buy it... tough stuff with thicker case walls.