length n = 71
dimension k = 3
alphabet length q = 5

minimum distance d = 56

generator matrix:
00000000000001111111111111111111111111111111111111111111111111111111111
01011111111110001010102020303030404111212131313141414232324243334343444
10101123232340010101020203030304040112121313131414141323242423343434344

projective group of automorphisms generated by:
100
001
010

100
001
010