length n = 100
dimension k = 4
alphabet length q = 2

minimum distance d = 52

generator matrix:
0000000000000000000010101010101010101010101010101010101010101010101010101010111111111111111111111111
0000000000000000000101010101010101010101010101010101010101010101010101010101011111111111111111111111
0000001111111111111000000000000000000000000000000111111111111111111111111111100000000001111111111111
1111110000001111111000000000000001111111111111111000000000000001111111111111100001111110000001111111

projective group of automorphisms generated by:
1000
0100
0010
0001

0100
1000
0010
0001