length n = 76
dimension k = 3
alphabet length q = 5

minimum distance d = 60

generator matrix:
0000000000000001111111111111111111111111111111111111111111111111111111111111
0101011111111110010101020203030304041121212131313141414223232424243334343444
1010101123232340101010202030303040401212121313131414141232324242423343434344

projective group of automorphisms generated by:
100
001
010

100
001
010