According to
this scientific review, optimal dosage isn't known, so I'm afraid this is something you'll have to figure out yourself. It does however give an upper limit of 14g:
Supplementation of L-glutamine tends to be dosed at 5g or above, with a recommended 'upper limit' of 14g or 0.75g/kg (the upper limit based on increasing ammonia levels in the blood, which is seen as an adverse effect of supplementation).Best.