length n = 90
dimension k = 3
alphabet length q = 5

minimum distance d = 72

generator matrix:
000000000000000011111111111111111111111111111111111111111111111111111111111111111111111111
010101111111111100001010102020203030304040411121212131313141414222232323242424333343434444
101010111232323400010101020202030303040404011212121313131414141222323232424242333434343444

projective group of automorphisms generated by:
100
001
010

100
001
010