length n = 26
dimension k = 6
alphabet length q = 7

minimum distance d = 14

generator matrix:
11111111111111111111111111
11116611111111222222444444
11161611222444111222111444
11611624122144122112144114
16111624212414212121414141
61111624221441221211441411

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

010000
100000
001000
000100
000010
000001