length n = 51
dimension k = 4
alphabet length q = 4

minimum distance d = 36

generator matrix:
000000111111011100011111111100011111111111111111111
001111000023101111100011223311100011223311123112233
110023002300110112312302010312312303020111213231213
232300230000111021321320103032132130201012113232131

projective group of automorphisms generated by:
0001
1000
0100
0010

0100
1000
0010
0001