length n = 109
dimension k = 4
alphabet length q = 4

minimum distance d = 80

generator matrix:
0001000111000000111111011100011111111100011111111100011111111100011111111100111111111111111111111111111111111
0010011001001111000023101111100011223311100011223311100011223311100011223311002233111231123112233112222233333
0100101010110023002300110112312302010312312302010312312303020112312303020123230302112131321231213231233312223
1000110100232300230000111021321320103021321320103032132130201032132130201032323020121133121232131323312321232

projective group of automorphisms generated by:
0001
1000
0100
0010

0100
1000
0010
0001