length n = 242
dimension k = 3
alphabet length q = 2

minimum distance d = 138

generator matrix:
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
00000000000000000000000000000000000111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111111111111111111111111111
11111111111111111111111111111111111000000000000000000000000000000000001111111111111111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111000000000000000000000000000000000001111111111111111111111111111111111

projective group of automorphisms generated by:
100
010
001

100
010
001