The generator matrix 1 0 1 1 1 1 X+6 1 1 2X 1 1 1 0 1 1 2X+6 1 6 1 1 1 X 1 1 1 1 1 1 1 1 6 1 1 1 1 2X+6 1 1 2X 1 2X 1 1 1 1 1 0 1 1 1 X+6 2X+6 X X 1 1 6 1 1 1 1 1 1 X+6 1 1 1 0 1 1 8 X+6 X+5 1 2X 2X+8 1 2X+7 X+1 0 1 2X 2X+1 1 5 1 X+8 X+7 1 1 X+6 5 2X+5 X+8 2X+7 2X+5 6 7 1 2X+5 2X+1 2X 2X+8 1 2X+8 1 1 2X+4 1 X+7 X+3 X+1 X+8 X+5 1 2X+8 6 8 1 1 1 1 2X+8 2X+3 1 X+3 X+5 5 2X+3 2X X+1 1 X+2 2X+7 2X+1 0 0 2X 0 6 6 6 0 6 6 2X+6 2X 2X+3 2X 2X+3 X X+3 X+3 X+6 X+6 X X+3 X+6 2X+6 X+6 X+6 X+3 6 X+6 X 2X X+6 2X X 0 6 6 2X+6 X 2X+6 3 2X 0 X+6 2X+6 6 2X+6 2X+6 0 X+3 2X+6 X+3 X+3 2X+3 2X 2X 2X 0 2X+3 3 X+3 X 3 3 2X+6 X+3 3 X+6 0 0 0 3 3 0 6 6 6 3 6 3 6 3 0 6 0 0 3 3 0 3 6 3 6 3 0 3 6 6 3 0 6 3 3 0 6 3 0 3 3 6 6 3 0 6 6 6 3 0 3 3 6 0 6 0 3 3 0 3 3 3 0 0 3 3 0 6 generates a code of length 68 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 128. Homogenous weight enumerator: w(x)=1x^0+276x^128+262x^129+558x^130+1386x^131+1178x^132+1440x^133+2298x^134+1520x^135+1482x^136+2640x^137+1914x^138+1290x^139+1560x^140+572x^141+522x^142+438x^143+86x^144+30x^145+84x^146+18x^147+6x^148+42x^149+14x^150+18x^152+20x^153+18x^154+6x^155+2x^156+2x^162 The gray image is a code over GF(3) with n=612, k=9 and d=384. This code was found by Heurico 1.16 in 1.28 seconds.