The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 X 1 1 1 X 0 3 1 1 0 X 0 0 2X X+3 X 2X+3 2X 6 X 3 X+3 2X 6 2X+6 X+3 2X X+6 X+3 X 3 2X+3 0 6 2X+6 6 0 2X 2X+6 2X+6 0 2X+3 2X 6 2X+6 0 X 2X X+6 X+3 0 6 6 2X+6 X X+3 X 3 X X+6 6 2X+6 2X 0 X+6 X+6 6 X 6 3 X+6 X+6 0 0 X 2X 6 2X+3 X X+3 2X 3 3 X+3 X 2X+6 2X+6 X+3 2X 0 3 X+6 2X+6 3 0 X+3 2X 2X 3 2X+3 X X 0 X+6 2X+6 0 X+6 2X+3 3 3 X X 3 2X+6 2X 0 2X 2X+6 X+6 2X+3 0 2X 2X+6 X+3 X+3 2X+6 X+3 X+3 X+3 X+3 X+3 X X X 2X+3 0 0 0 6 0 0 3 6 3 3 6 3 0 0 0 0 6 3 3 6 3 6 6 6 3 6 6 6 3 3 6 6 3 0 3 6 3 3 0 3 6 3 0 0 0 0 0 3 6 6 6 3 6 3 3 3 6 0 3 0 0 6 0 generates a code of length 63 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 119. Homogenous weight enumerator: w(x)=1x^0+282x^119+158x^120+624x^122+456x^123+162x^124+960x^125+1596x^126+324x^127+1134x^128+292x^129+180x^131+66x^132+114x^134+62x^135+60x^137+34x^138+42x^140+6x^143+6x^144+2x^174 The gray image is a code over GF(3) with n=567, k=8 and d=357. This code was found by Heurico 1.16 in 2.01 seconds.