length n = 45
dimension k = 3
alphabet length q = 5

minimum distance d = 35

generator matrix:
000000011111111111111111111111111111111111111
011111100010102020303041112131314142324334344
101232300101020203030401121313141413242343434

projective group of automorphisms generated by:
100
001
010

100
001
010