length n = 222
dimension k = 6
alphabet length q = 3

minimum distance d = 144

generator matrix:
000001111111111000000000000000000001111111111111111111111111111111111111111000001111111111111111111111111000001111111111111111111111111000000000011111111111111111111111111111111111111111111111111111111111111111111111111111
011110000111111000011111111111111110000000000000000111111111111222222222222111110000011111111111122222222111110000011111111111122222222111111111100000000001111111111111111222222222222222222222222111122111122111111122222222
101110111000111111100001111112222220000111111222222000000111222000000111222111221112200011111122200111222111221112200011111122200111222111122222211112222220000111222222222000000111111111222222222111212111212111222211112222
110111011011001112211220011220011221122001122001122001122002001001122001002112121121211200112201112011022112121121211200112201112011022122211122212221112221222022000112222111222000112222000111122112112112112122112211221122
111011101101010121212121202011201021212120201120102120201020010120102010020121121211212112020110112101202121121211212112020110112101202212212211221221221122122202122020012122112122020012112001201121112121112212121212121212
111101110110100211221122120101210202112212010121020212010200100121020100200211122111221121201011012110220211122111221121201011012110220221221212122122121212212220212201200212121212201200121120010211112211112221211221121221

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

000100
100000
001000
010000
000010
000001

000010
100000
001000
000100
010000
000001

000001
100000
001000
000100
000010
010000