length n = 47
dimension k = 3
alphabet length q = 5

minimum distance d = 37

generator matrix:
00000000001111111111111111111111111111111111111
00111111110000000111111112222222233333334444444
11001122330223344112233440011223301122440113344

projective group of automorphisms generated by:
100
010
001

100
010
001