length n = 220
dimension k = 6
alphabet length q = 3

minimum distance d = 144

generator matrix:
0000010000000000111110000000000000001111111111111110000011111000000000000000111111111111111000000000011111111111111111111000000000011111111111111111111011111000001111111111111111111111111111111111111111111111111111111111
0000100000001111000010000001111111110000000001122220011100011000000111111111000000000112222001111111100000000111111222222001111111100000000111111222222101111111110000011111111222222222222111111221111111222222221111222222
0001000001110001000100001110001122220001122220000001100100101111111000000122000000122020012110011112200111122000022001122110011222200112222001112000012110111122221222201112222000011112222111112121112222111122221222111222
0010000110010010001001111221220000000000200120200120101111000000122000122212112222000000000121200221222011202011201020100121211001211020112020020011202111011111222111220220022111200221122111121121221122112211222122122112
0100001010100100010001222120000200121220000002012001011001100122000122212000020012212000000122212010212202012102110100002211102121012112010200200201210111101212111122122022200122212120101111211122121212121212122212212121
1000001101001000100002120002122012002122012000000001110010010212212212000000201200000201200221221101012120110220000121020112120120221202102112001210000111110222122212212201212212122001010112111122212112211212212221221211

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

001000
000100
000001
100000
000010
010000