length n = 165
dimension k = 5
alphabet length q = 4

minimum distance d = 120

generator matrix:
000100001000111000000111111000111111111000111111111011100011111111100011111111101110001111111111111111111111111111111111111111111111111111111111111111111111111111111
001000010011001001111000023111000112233111000112233101111100011223311100011223310111110001122331112311231123112311123112222233333112233112222233333112222233333112233
010000100101010110023002300123123030201123123020103110112312302010312312303020111011231230201031132112131321121311213231233312223231213231233312223231233312223231213
000011111111111131313131313000000000000113113111133222222122122221123223222332233333323323333220000011131121222133332000000000000131133111212311233222312321231323322
100001000110100232300230000321321302010213213201030111021321320103032132130201011102132132010301312121133121211312113323312321232232131323312321232323331223122232131

projective group of automorphisms generated by:
01000
00100
10000
00010
00001

00100
10000
00001
00010
01000