I believe apple removed the game centre app in iOS10 due to it's low popularity, however, game centre options can still be managed in the "settings" app. hope this helps
Maybe like he said in Settings. But also in game apps. Example: Ball Hop Bowling. In the App is game center just for the one app game.
Tap on game center icon>
Get these options.
Note: this only shows game center stats for just Ball Hop Bowling. Each game is separate.
In the Super Sharp game, you find game center here: