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

minimum distance d = 30

generator matrix:
000000000000000111111111111111111111111111111
000011111111111000000000111111111122222222222
111100001112222000111222000111222200011112222

projective group of automorphisms generated by:
100
010
001

100
010
001