It would be much better to have 33 match days, as then each guy would play on exactly 12 match days. In other words, if you don't have a multiple of 11 match days then some guys will have more play than others. I have put a 33 day solution below, where any two guys are scheduled to meet either 3 or 4 times.
(9 2 4 11)
(7 10 8 6)
(11 1 3 5)
(6 11 10 2)
(4 3 5 8)
(2 7 1 9)
(3 11 6 4)
(9 8 4 7)
(2 10 1 5)
(3 11 7 9)
(10 9 6 5)
(1 2 8 4)
(7 6 10 3)
(4 1 7 9)
(5 8 11 2)
(1 3 4 10)
(8 9 2 6)
(11 5 6 7)
(8 10 9 3)
(5 7 2 1)
(4 1 11 6)
(7 5 8 3)
(11 9 10 1)
(6 2 5 4)
(10 8 1 11)
(6 3 9 2)
(10 4 5 7)
(1 6 3 8)
(3 7 2 11)
(5 4 9 10)
(8 6 7 1)
(9 5 11 8)
(2 4 3 10)
Either leave out the last round, or perhaps have one week with two match days?