length n = 147
dimension k = 6
alphabet length q = 3

minimum distance d = 93

generator matrix:
000001000000111100000011110000000000001111111100001111110000000000001111111111111111110111101111000011111111111111110001111111111111111111111111111
000010000111000100011100010000001111110000002201110001110001111111110000000001112222221011110111111100001111112222221110001112222221111221111222222
000100011001001001100100100011110000220000220010110110011110001122220001122220020000121101111011112211220011220011221221220220011221112121222111222
001000101010010010101001001100220022000022000011011010101221220200121220200120200012001110111101121212121202011201022122122021202011121122122122112
010000110100100011010010002222002200002200000011101101002122122012002122012002001200001111011110211221122120101210202212212202120101211122212212121
111111111111111122222222221212121212121212121211111111110000000000000000000000000000001111122222111211121111111211220000000000000002222211112112122

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

001000
000010
100000
010000
000100
000001