length n = 223
dimension k = 5
alphabet length q = 3

minimum distance d = 148

generator matrix:
0000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
0000111000000111111111111111111000000111111111111111111001111110011111100000000001112220011122200000011111111122222222200000011111111122222222200000011111111122222222200000011111111122222222200111222001112220011122200111222
0001012111111000000111111222222111111000000111111222222110011221100112200000000120120121201201211122200011122200011122211122200011122200011122211122200011122200011122211122200011122200011122212012012120120121201201212012012
0110000001122001122001122001122001122001122001122001122121212121212121200120121000000000000000001201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201201211111111111111112222222222222222
1020000120201120201120201120201120201120201120201120201121212121212121201202011000000000000000012012012012012012012012012012012012012012012012020120120120120120120120120120120120120120120120111111111111111112222222222222222

projective group of automorphisms generated by:
20000
01100
01000
00011
00020