length n = 46
dimension k = 3
alphabet length q = 3

minimum distance d = 31

generator matrix:
0000000000001111111111111111111111111111111111
0001111111110000000000011111111111222222222222
1110001112220000111122200001111222000011112222

projective group of automorphisms generated by:
100
010
001

100
010
001