length n = 89
dimension k = 3
alphabet length q = 5

minimum distance d = 71

generator matrix:
00000000000000001111111111111111111111111111111111111111111111111111111111111111111111111
00111111111111110000000000000001111111111111122222222222222233333333333333344444444444444
11001112223334440001112223334440001122233344400011122233344400011122233344400111222333444

projective group of automorphisms generated by:
100
010
001

100
010
001