length n = 44
dimension k = 3
alphabet length q = 3

minimum distance d = 30

generator matrix:
00000000000000111111111111111111111111111111
00011111111111000000000001111111111122222222
11100001111222000011122220001111222200011122

projective group of automorphisms generated by:
100
010
001

100
010
001