length n = 246
dimension k = 4
alphabet length q = 3

minimum distance d = 165

generator matrix:
000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
000111000111000111000111000111000111000111000001111111111111111111111111111111111000000002220002220002220002220002220002220001110001110001110001110001110001110000000000000011122211122211122211122211122211122211111111111111111112222222222222222222
011012011012011012011012011012011012011012111110120120120120120000012121212121212000000120120120120120120120120120120120120120120120120120120120120120120120121212121212121201201201201201201201201201201201201200000121212121212120000012121212121212
112000112000112000112000112000112000112000000001111111111111112222222222222222222000001110001110001110001110001110001110002220002220002220002220002220002220000000000000000011122211122211122211122211122211122222222222222222222221111111111111111111

projective group of automorphisms generated by:
2000
0001
0212
0100