I've got several that are ~6.5 lbs scoped with a Leupold 6x42. Seven or 700 short action, edge stock, #2 barrel @ 22".....bumping the scope weight with an NXS will bump total weight. I've several that are extremely accurate.

You can almost hit that weight taking a stainless 700 sporter, chopping it to 22", and sticking it in a blind mag edge fill stock.

I like Barrett and agree on it being a custom killer, but understand the preference for a slightly heavier contour on the short action.