They will fit over the standard 312mm brakes, but if your GTD has the 'Performance Pack' 340mm brakes, 16s won't fit.
If you have 312 front brakes, I have a set of 16" 5x112 winter steels, with Dunlop SP Winter Sport 3D 205/55/16 surplass to requirements.......if that's of interest to you. They were for my MK5, but pretty sure they will fit a MK7 as well.