length n = 223
dimension k = 4
alphabet length q = 2

minimum distance d = 118

generator matrix:
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
0000000000000000000000000000000000000000000001111111111111111111111111111111111111111111111111111111111110000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111111111111111111
0000000000000001111111111111111111111111111110000000000000000000000000000001111111111111111111111111111110000000000000000000000000000011111111111111111111111111111000000000000000000000000000000111111111111111111111111111111
1111111111111110000000000000001111111111111110000000000000001111111111111110000000000000001111111111111110000000000000001111111111111100000000000000011111111111111000000000000000111111111111111000000000000000111111111111111

projective group of automorphisms generated by:
1000
0100
0010
0001

1000
0100
0010
0001