I agreed with king66 being the M14 can never be compare with any decent bolt gun however better accuracy can be achieve here's another writing from Art Luppino (and remember this is all done by "Slow firing")
Accuracy Information from Texas
10 shots under an inch, not so easy.
I take great pride in announcing, even if nobody is too interested, that after more than 30 years of trials and countless quality service rifles, I have fired 10 shots slow fire under one inch at 100 yards; .825" to be exact. I would like to give special thanks to Ted Brown for helping me in the installation of a pillar bedded rear screw and suggesting a no draw trigger group. For those of you that have not reached 73 years of age, there is hope. Art Luppino
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Regarding the ten in one inch group. The rifle is a Springfield receiver, ser. no. 039061, barrel is a Canadian Arsenal NM, standard profile, 1.634" headspace, 7.62 MM chamber, TE .250". There are parts form all the makers but no TRW parts. Stock is standard GI walnut bedded with JB Weld, to include pillar rear with quarter twenty-eight screw. The pillar I made out of Alum.. The screw seat in pillar is drilled using 62 degree drill and I machine the bottom of the screw also to 62 degrees to provide more purchase, it does not back out using 45 inch lbs, torque. Trigger group is bedded with fully closed guard giving no draw pressure. Gas system is unitized, welded, piston is slotted. I do use a shim to provide drive back force rather than gas plug pull forward lock up. The HG is a slip fit staked at rear and has some play fore and aft . Rifle was bedded using a standoff fixture rather than barrel devise, draw pressure is what I call four finger break pressure.
I used a Griffin and Howe single screw mount, but there is a gasket between rec. and mount, cast receivers are uneven causing the mounts to not fit flush, resulting in mount movement between shots. The scope is a Lyman Alaskan two and one half power crosshair.
The loads are, LC military match 1965 cases without any neck turning, they were on their fourth firing. WLR primers, with 41.5 4895 IMR, 168 Sierras on top, OAL 2.830". All rounds were made concentric to within .002". Rounds were loaded directly into chamber not from Mag. This was this first time I had used new Redding Match dies. Dies were adjusted using case to get light finger pressure to full lock up, You have to strip the bolt to do this procedure. I allowed two minutes between shots, sandbags were used for support. Perfect conditions during firing, the tenth shot was a bit hard to get off.
The most important aspect of this shooting I believe had to do with the target itself. I turned the target backwards and fitted four black squares into each corner leaving a four inch white cross as the aiming point. The crosshairs stood out clear within this cross, I was not troubled with visual blocking of sight picture. it was easy to line this up and suggest you give it a try.
I am aware that not all the above fits into the current methods of procedure or matching a M1A, I would not be to hasty to disregard some of the older techniques that gave excellent scores. I hope this give interested shooters motivation to get back on the range with the finest Service Rifle ever made.