length n = 249
dimension k = 5
alphabet length q = 3

minimum distance d = 165

generator matrix:
000000000000000000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
000000000001110000001111111111111111110000001111111111111111110011111100111111000000000000000000000111222001112220000001111111112222222220000001111111112222222220000001111111112222222220000001111111112222222220011122200111222001112220011122200111222
000000000010121111110000001111112222221111110000001111112222221100112211001122000000000000000000012012012120120121112220001112220001112221112220001112220001112221112220001112220001112221112220001112220001112221201201212012012120120121201201212012012
011011011100000011220011220011220011220011220011220011220011221212121212121212000012012012012111200000000000000000120120120120120120120120120120120120120120120120120120120120120120120120120120120120120120120121111111111111111222222222222222222222222
102102102100001202011202011202011202011202011202011202011202011212121212121212000120120201201111200000000000000001201201201201201201201201201201201201201201201202012012012012012012012012012012012012012012012011111111111111111222222222222222222222222

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