Zeroing issue

It’s not a parallax error, it’s likely that the rail or rings are misaligned to the centreline of the action and barrel.

I’d centre the scope then swap the rings and rail around while borescoping out the window ( I use an electricity pole with a yellow danger sign) to see if you can get it any closer.

Does the rail have any alignment dowels? Or I just the four screws?
 
It’s a 20moa rail, it can’t be swapped around. It is what it is. Tier 1 rings should be a matched pair and not matter which way around they are (note about the bolts being opposite to the ejection port).

Get the rifle stable somewhere and bore sight.
 
Not all actions are drilled and tapped completely square. If you are off to this extent it’s likely yours aren’t.

My Remington M700 30-06 required swapping front and rear rings front to back but now I use Burris Signature Zees and eccentric inserts.

It can be fiddly but you should be able to get there.
 
Not trying to be smart, just after fitting a 20moa picatinny rail on my rifle and zeroed yesterday with three shots, but firstly dialed the elevation turret all the way down as low as it'd go, because of the 20moa, and put a 12" target @ 75yrds. The first shot was low by 3" and left by 4", dialed that in next shot was bang on so dialed up 6 clicks and set target up @ 150yrds and spot on.
Worth a try as it's 20moa after all?
 
Take the scope & rings off but leave the rail screwed to the action.

Set the rifle up on a bench or table & bore sight it on something big enough to give you a good benchmark.

Then from behind the rifle BUT MAKING SURE NOT TO HAVE TOUCHED OR MOVED IT AFTER YOUVE BORE SIGHTED IT take a look along the edge of one side of your rail & it should line up pretty close to the the benchmark you've used to bore sight it. Check again using the opposite side.

If you don't get close to the benchmark then odds are the rail is on skewed.

Another way you could check the rail alignment is to put the rifle on the bench & then go & stand in front of it so you are looking back down the axis of the barrel. If the rail is skewed you should see it.

Last resort, take a straight edge & hold it against the side of the rail & you will soon see if the barrel & rail aren't aligned.

You don't mention what make the rail is or the type of screws to fit it. Some rails have basic counter bored holes for the screws, i.e. they have a flat bottom to the hole & the cap head screws for fitting them have a flat shoulder surface. If there is too much play then you can misalign the rail using these fittings.

If the rail has countersunk holes then you should use countersunk screws - these will then pull the rail into line with the screw holes on the action as they're done up - one at one end first then the one at the opposite end, then back to the second at the first end & lastly the second at the other end.

I once bought a rifle that 'wouldn't shoot' - all that was wrong with it was the rail had been fitted using the wrong screws so was loose! An easy fix that got me a great rifle at a decent price!
 
Purchase some Burris Signature rings and use the inserts to align your scope. I bore sight my rifles at a mark on the garden fence and use the inserts to get the scope aligned with the same spot. Once I'm happy with the setup, I go and shoot it. Typically starting at 50 yds.
Regards
JCS
Thats interesting the Burris are cheaper than the ones i bought< lol anyway thanks for the suggestion, ill have another go tomorrow and see where i get to.
 
All, thanks so much for the suggestions, ill try them (one at a time) and then let you know how i get on, hopefully tomorrow.
 
...My Remington M700 30-06 required swapping front and rear rings front to back but now I use Burris Signature Zees and eccentric inserts.
I had Remington 700 too. Over the years it was rebarrelled several times. Each time, the barrel pointed roughly 10 MOA to the left as the action threads weren't true.
Regards
JCS
 
Ive been out to check zero on my .308 today, I had moved the scope a bit, the scope was slightly on the p*** and needed to be moved back to correct the eye relief, got it zero'd an inch and a bit high at about 75 yards then moved back to 250 yards and shot this group, about .7moa with a reasonable right to left cross wind, i'm quite chuffed with that, especially as it's onlt a x8 fixed mag scope
 

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Ive been out to check zero on my .308 today, I had moved the scope a bit, the scope was slightly on the p*** and needed to be moved back to correct the eye relief, got it zero'd an inch and a bit high at about 75 yards then moved back to 250 yards and shot this group, about .7moa with a reasonable right to left cross wind, i'm quite chuffed with that, especially as it's onlt a x8 fixed mag scope

.7 moa 🤔
 
Ive been out to check zero on my .308 today, I had moved the scope a bit, the scope was slightly on the p*** and needed to be moved back to correct the eye relief, got it zero'd an inch and a bit high at about 75 yards then moved back to 250 yards and shot this group, about .7moa with a reasonable right to left cross wind, i'm quite chuffed with that, especially as it's onlt a x8 fixed mag scope
Well done.
 
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