length n = 19
dimension k = 7
alphabet length q = 7

minimum distance d = 5

generator matrix:
0000000000000111111
0000000111111000000
0111111000000000000
0000000000000123456
0000000123456000000
0123456000000000000
1214412000000000000

projective group of automorphisms generated by:
0000100
1000000
0010000
0100000
0001000
0000010
0000001

1000000
0500000
0060000
0005000
0000500
0000040
0000005