length n = 22
dimension k = 7
alphabet length q = 7

minimum distance d = 7

generator matrix:
1111111111111111111111
1111111111112222244444
1111111222241111214444
1111222111241112141444
1122112112141121144144
1212121121141211144414
1221211211142111144441

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

0100000
1000000
0010000
0001000
0000100
0000010
0000001