length n = 122
dimension k = 6
alphabet length q = 4

minimum distance d = 85

generator matrix:
00000100000000001111111111000000000011111111111111111111011111000001111111111111111111111111000001111111111111111111111111
00001000001111110000002233001111111100000000111111222333101111111110000011111111222222333333111110000011112222222233333333
00010000110022330022330000110011223300112233001113002001110111111231112300022223011112013333122331223303330022233300111222
00100011230003022300000302131103021113110201030030220011111011123232231312301123100221100133213233231220221303301123033022
01000023002330203203020000111330220131032210110301020100111101213111231122320200112011333301231322132333032330320212202101
10000032323200000030203020313111201011302011303000202110111110223132132321312013221100331010332212313222203111033032220330

projective group of automorphisms generated by:
200000
002000
000200
000002
020000
000020

002000
200000
020000
000002
000200
000020