While out of stock, this is the first fix of a lot of problems;
https://alphamunitions.com/product/6mm-arc/
6mm bore dimensions come in two sizes of barrels made in the USA, .236 and .237. No telling what the bore dimension is of your barrel.
Start with fresh, new brass reloading, your issue maybe solved quickly. I would chronograph that factory load.
You learn to hate crappy brass in a hurry.
A butt load of carbon from back pressure and/or copper fouling can not do your pressure issues any good at all.
I am sure you will get the issues iorned out.