length n = 72
dimension k = 3
alphabet length q = 5

minimum distance d = 57

generator matrix:
000000000000111111111111111111111111111111111111111111111111111111111111
010111111111000101010202030303040404111212131313141414232324243334343444
101011232323001010102020303030404040112121313131414141323242423343434344

projective group of automorphisms generated by:
100
001
010

100
001
010