length n = 27
dimension k = 13
alphabet length q = 2

minimum distance d = 4

generator matrix:
000000000000101111111111111
000000000001010111111111111
000000000010011011111111111
000000000100011101111111111
000000001000011110111111111
000000010000011111011111111
000000100000011111101111111
000001000000011111110111111
000010000000011111111011111
000100000000011111111101111
001000000000011111111110111
010000000000011111111111011
100000000000011111111111101

projective group of automorphisms generated by:
0000000000001
1000000000000
0100000000000
0010000000000
0001000000000
0000100000000
0000010000000
0000001000000
0000000100000
0000000010000
0000000001000
0000000000100
0000000000010

0100000000000
1000000000000
0010000000000
0001000000000
0000100000000
0000010000000
0000001000000
0000000100000
0000000010000
0000000001000
0000000000100
0000000000010
0000000000001