I don't think it is a good idea to make it easy to get a specific number of or an optimal number of minutes. To me that takes away from the challenge. I do not want a game where I can say "player A gets 62 minutes this week because that is the optimal minutes per week for game shape." I think that is lame.
If you want a player to get a lot of minutes, there are ways of doing that. Set him as starter backup and third string and have the coach strictly follow depth chart. Unles he fouls out, he'll get 48 minutes.
Once I scored a basket that still makes me laugh.