length n = 28
dimension k = 7
alphabet length q = 7

minimum distance d = 12

generator matrix:
0000001111111111111111111111
0000010111111111112222244444
0000100111111222241111214444
0001000111222111241112141444
0010000122112112141121144144
0100000212121121141211144414
1000000221211211142111144441

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

0100000
1000000
0010000
0001000
0000100
0000010
0000001