length n = 249
dimension k = 6
alphabet length q = 3

minimum distance d = 163

generator matrix:
000001000001000000000011111000000000000000000000000000000111111111111111111111111111111000001111111111000000000000000000001111111111111111111111111111111111111111011111000000000011111111111111111111111111111111111111111111111111111111111111111111111
000010000010000000111100001000000000000111111111111111111000000000000000000111122222222011110000111111000011111111111111110000000000000000111111111111222222222222101111111111111100000000001111111111111111222222222222222222222222111122111111122222222
000100000100000111000100010000111111111000000000111222222000000000111222222000200000012101110111000111111100001111112222220000111111222222000000111222000000111222110111111122222211112222220000111222222222000000111111111222222222111212111222211112222
001000001000011001001000100111000112222000112222002000012000112222002000012002000001200110111011011001112211220011220011221122001122001122001122002001001122001002111011122211122212221112221222022000112222111222000112222000111122112112122112211221122
010000010000101010010001000122122020012122020012020001200122020012020001200020000120000111011101101010121212121202011201021212120201120102120201020010120102010020111101212212211221221221122122202122020012122112122020012112001201121112212121212121212
100000100000110100100010000212212201200212201200200120000212201200200120000200012000000111101110110100211221122120101210202112212010121020212010200100121020100200111110221221212122122121212212220212201200212121212201200121120010211112221211221121221

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