length n = 28
dimension k = 6
alphabet length q = 4

minimum distance d = 16

generator matrix:
0000000000011111111111111111
0000111111100111122221111223
0111000111112012201121112123
1011011001121120220111121123
1101101010121202111201211123
1110110100112221012012111123

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

100000
000100
010000
000010
001000
000001