Heavy Barrel
That's a good question and you already have a good answer. But you should take into consideration the shooting system and not concentrate on the barrel alone. A heavy barrel, if not trued to the reciever for example, or part of many other aspects that make up a shooting system, is not going to be the complete answer to accurate shooting. It will make a positive difference, no doubt, but a heavy barrel in itself does not make for an accurate rifle. Bedding the reciever, torqueing the action screws, floating the barrel, honing the trigger sear are just a few things to tinker with when trying to get a very accurate gun. Oh yes, I almost forgot to mention the ammunition too. But that's another story.