length n = 67
dimension k = 3
alphabet length q = 4

minimum distance d = 50

generator matrix:
0101010100000101010101010101011111111111111111111111111111111111111
0000000011111111111313131212120000000111113131312121222223232323333
1010101000001010102020203030301232323111123232332323211132323232111

projective group of automorphisms generated by:
001
010
100

100
010
001