You will certainly be able to stabilise bullets heavier than the standard fare which the .222rem has historically used but I doubt you need or want to shoot anything that heavy if you bought a .222rem. Anything in the 50grain area will shoot well but if you wanted to shoot 60's or even a touch more, it would probably shoot them well enough but only loading them up and testing will tell you for sure how they shoot.
What will you use the rifle for? You are in Scotland, so is this a rifle for Roe? If so, a heavier bullet that will do lesser speed than normal .222 rounds might well be a good idea. Something around 60grains would probably be good.
If you are using it to shoot foxes and pests, I would stick to the ballpark of 50 grains or so. You will maintain velocity north of 3000fps and enjoy destructive terminal performance assuming the correct frangible bullet is chosen.
I personally use 53grain Noser Varmegeddons in mine. They are a very accurate and destructive bullet. They also do a 55grain bullet which is easier to source. Vmax also work well. I personally would not go lighter than that as they get blown about by the wind a bit more when shootig over longer distances but that depends on your application I suppose.