length n = 123
dimension k = 6
alphabet length q = 8

minimum distance d = 51

generator matrix:
000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111
000000000000000000000000000000000000000000000000000000000000111111100000001111111222222233333334444444555555566666667777777
000000000000000000000000000000000000000000000000000000000000123456712345671234567123456712345671234567123456712345671234567
000000000111111111111111111111111111111111111111111111111111000000000000000000000000000000000000000000000000000000000000000
111111111000000000123456712345671234567123456712345671234567000000000000000000000000000000000000000000000000000000000000000
001234567001234567134567235741264762513542736161532477216435000000000000000000000000000000000000000000000000000000000000000

projective group of automorphisms generated by:
610000
230000
007000
000700
000020
000001

450000
660000
006000
000400
000050
000001