length n = 129
dimension k = 6
alphabet length q = 3

minimum distance d = 82

generator matrix:
001000000111111000000111111001111000000001111111111111111000000001111111111111111000011111111111111111111000011111111111111111111
002000011002222000011001111001122111111110000000011111111111111110000000022222222111100001111111111111111111100002222222222222222
010001112120000111100000012110012000011221111222200001122000011221111222200001122112211220000111111222222112211220000111111222222
100111200000012001212120000121200112200001122112200001212112200001122112200001212121212121122001122001122121212121122001122001122
020120021210000111100001200220012121211220101020211220000121222110202010111220000112211221212110101220202221122111212220202110101
200222100001200120012120000122100112212121020102012120000221112122010201012120000121212121122121020121020212121212211122010122010

projective group of automorphisms generated by:
000001
000100
010000
000010
100000
001000

100000
010000
001000
000200
000010
000002