length n = 20
dimension k = 6
alphabet length q = 8

minimum distance d = 8

generator matrix:
11111111111111111111
11111111222222555555
11222555111222111555
25122155122112155115
25212515212121515151
25221551221211551511

projective group of automorphisms generated by:
001000
100000
010000
000100
000010
000001

000100
100000
001000
010000
000010
000001

000010
100000
001000
000100
010000
000001

000001
100000
001000
000100
000010
010000