Who knoes how much it grows up in one week?
I really wouldn't know, never done it.
Does played minutes influence Game shape training?
No, minutes played doesn't influence Game Shape training: it is 1 of the 3 Team Training options, and all of your players benefit from these training types no matter how much playing time they got that week, even if they didn't play at all.
On the other hand: minutes played do influence Game shape in general! Having your players play too little or too much minutes in a week will have a negative effect.