To get a fair schedule, you would need to play 15 weeks as follows:
[(C E):(B D)]
[(B F):(A D)]
[(B C):(A E)]
[(C D):(A B)]
[(D F):(A C)]
[(B E):(C F)]
[(B D):(E F)]
[(D E):(A F)]
[(C D):(B F)]
[(A B):(E F)]
[(B E):(A D)]
[(A C):(D E)]
[(A E):(C F)]
[(A F):(B C)]
[(D F):(C E)]
so each player gets 10 games and 5 byes, all partners twice and all opponents four times.
