length n = 125
dimension k = 9
alphabet length q = 3

minimum distance d = 69

generator matrix:
00000000000000000000000000000000000000111111111111111111111111111111111111111111111111111111111111111111000011111111100111111
00000000000000001111111111111111111111000000000000000000000000000001111111111111111111122222222222222222001100001222211000222
00011111111111110000000001111222222222000000000111111111122222222220000000011111112222200000001111222222010201122112202012012
01101111112222220000112220111011111122001111122000111122200001111110001111200011111111200011220111001222101120211020100222222
11120011220012220111220221001001111212120112201000000111211110011110120122212200121222201200221111020111211011210200221201012
20211202110210120022010012221111112021000110100012122200201122201121021002210201211122222002222122001001122022120100112210102
02211112020211112122011100121000220220111122210100202211110120101112011122200100101202120021111201212002212100100011002201201
21122021100211000111112000020102011002211211201212002100111222100121221011000221021010200100220001000222212111211122111000222
20102112220110012212012210102101220001220201222011120101021211220012220010002011220022100220021101222122200010120202102120120

projective group of automorphisms generated by:
212100102
012210101
212100101
212100111
101100002
112001222
000101122
101222100
110021022