With out making any assumptions about your technique here are some things I would look at.
1 do the dollar bill test, if it clears to the nut your should be good,or just to be safe sand a little out of the barrel channel then do the test.
2 make sure the scope bases and rings are tight. Torque bases to about 30 inch pounds and the rings to 18-20 inch pounds.
3 make sure the barrel is copper free.
4 slow down your rate of fire, you may be heating up the barrel, if the first 2 shots are close and the rest start to open up you are probably shooting to fast.
5 verify the scope is good, check against another.
6 try different powder and bullets your gun may like something else,check your seating depth.
7 have another shooter try it for groups.
I have found my 308 likes 42.6 gr. of IMR 4895 pushing 150 smk's sub .5moa as long as I take my time to do my part.
Good luck
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