length n = 126
dimension k = 9
alphabet length q = 3

minimum distance d = 72

generator matrix:
000000000000000000000000111111111111000000000000000000001111111111111111000000001111111111111111111111111111011111111011111111
000000000000000111111111000000000122000000000011111111110000000000111111011111110000000111111111222222222222101111111101112222
000000111111111000000000000000000212000000111100001111110000111111000000101122220112222001112222000011112222110111111110221122
000111000000122000000122000000122000001111001100110000110011000011000011220211221120122120220012012200121122111011111122121201
000122000122000000122000000122000000110011010111000001010101001100000101121212012122011022021221121202100201111101111221201212
111000000212000000000212122000000000011101101011000110000101010001011000122101122211102202021221212110022010111110111221022121
000212122000000122000000212000000000111100110001010010101010000110100100211220122021212122202010201121210210111111011212122012
122000000000212212000000000212000000100111110010101001001010110000001010212112202202121212200102110221212001111111101212210221
212000212000000000212000000000212000111010001100111100001100101000110000222022111212210210222100221012001122111111110122212110

projective group of automorphisms generated by:
000010000
000000001
010000000
100000000
000001000
000100000
000000100
001000000
000000010

001000000
100000000
010000000
000001000
000000010
000000100
000000001
000100000
000010000