length n = 177
dimension k = 5
alphabet length q = 3

minimum distance d = 117

generator matrix:
000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
000000000111111111111111111000000111111111111111111000000001112220000001111111112222222220000001111111112222222220000001111111112222222220000001111111112222222220011122200111222
000111111000000111111222222111111000000111111222222000000120120121112220001112220001112221112220001112220001112221112220001112220001112221112220001112220001112221201201212012012
011001122001122001122001122001122001122001122001122012012000000000120120120120120120120120120120120120120120120120120120120120120120120120120120120120120120120121111111122222222
102120201120201120201120201120201120201120201120201120201000000001201201201201201201201201201201201201201201201202012012012012012012012012012012012012012012012011111111122222222

projective group of automorphisms generated by:
20000
01100
01000
00011
00020