length n = 49
dimension k = 3
alphabet length q = 7

minimum distance d = 42

generator matrix:
0000000111111111111111111111111111111111111111111
0111111004604502302601312615613412412452353563456
1041236010332040551064016521636453662534251424321

projective group of automorphisms generated by:
600
023
010