Initial run nightmare - suggestions please!

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Put together a new rifle and was not pleased with the groups when i finally got around to testing the rifle for the first time. If i had to characterize the grouping, only word that comes to mind is random. All within 7 inches but completely random.

AR Stoner barrel, ASA side charge upper. The two did not come together with a very tight fit so i used blue lock tite to bed together. Used a torque wrench around 60 lbs.

Zeiss scope with Larue mount, very tight and no movement.

Firing is flawless, brass does not show any signs that would raise an eyebrow.

Looking for suggestions on steps i should take to improve. Thought i would start with putting a wrench to the barrel nut and tighten to next slot?

One slightly possible thing (and it's a long shot). You mentioned you are using a Larue mount... Is it possible that you didn't fully tighten the bottom of the ring halves before you started to tighten the tops? I say that because if you didn't fully tighten the bottoms first (thus locking the rings to the base) you could have tight rings that can actually move on the base... Again, it's a long shot, but I'm aware of one dummy that did that (me ) while distracted and in a hurry one time.LOL!!!