length n = 28
dimension k = 4
alphabet length q = 8

minimum distance d = 22

generator matrix:
0001000111111111111111111111
0010111000234567223344556677
0100357246703050365625274734
1000462735040602542767342365

projective group of automorphisms generated by:
0010
1000
0100
0001

0001
1000
0010
0100