length n = 30
dimension k = 7
alphabet length q = 7

minimum distance d = 8

generator matrix:
000000000000001111111111110000
000011110000000000000000001111
000000001111110000001234560000
111100000000000000000000001166
003400250000000000000000001616
000000001234561234560000000000
250034000000000000000000001661

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

1000000
0200000
0050000
0005000
0000500
0000020
0000002