length n = 225
dimension k = 5
alphabet length q = 4

minimum distance d = 167

generator matrix:
000010000001111000000000000111111110000000011111111111100001111110000111111000011111111111111110000111111111111111100001111111111111111000011111111111111110000111111111111111111111111111111111111111111111111111111111111111111
000100001110001000000111111000000230011111100000011223301110001230111000123111100001111112223331111000011111122233311110000111122223333111100001122222333331111000011222223333311123111231111112222222333333311112222222233333333
001000110010010001111000023000023001100122300122300010310120123001012012300112311230011220110331123112300113302201111231123223300120013133313332200233001222233223300012330122311213113211122331122333112223322331122333311222233
010001010100100110023002300002300001223001313201002003021303020012130302001121312131202011013031321132113030120210123112323020312011301212232230312313220002323131223330022203012113131212313121323123121232323233313122322123312
100001101001000232300230000230000002113210023010320100023021300202302130020211321132120101103303121312131301022011023232311203021203130322321223033000132233112322332303102010221113311213231213132123211233232322333213123311222

projective group of automorphisms generated by:
00010
00100
10000
00001
01000

00100
10000
00001
00010
01000