length n = 49
dimension k = 6
alphabet length q = 7

minimum distance d = 26

generator matrix:
0000000000111111111111111111111111111111111111111
0000111111000000111111111111111666666661111666666
0111000111000111000111111116666111166661666111666
1011011001011001001011111661166116611666166166116
1101101010101010010011116161616161616166616616161
1110110100110100100011116616116611616616661661611

projective group of automorphisms generated by:
100000
001000
000001
010000
000100
000010

000010
100000
010000
001000
000100
000001