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 0 1 1 X 1 X 1 1 1 1 1 0 1 1 0 X 0 0 0 3 6 X+3 X 2X+3 2X+3 X+6 2X+6 2X+3 X+6 X 0 X+3 2X+6 2X+6 6 3 X 2X+3 2X+6 2X 3 X 2X X 2X+6 3 X X 2X+6 0 0 0 X 0 6 X+3 X+3 2X+3 X+6 6 2X 3 X+3 X+6 2X+6 X+6 2X+6 3 2X+6 X 2X 2X 2X X 3 2X+6 3 6 3 X+3 0 6 X+3 6 X 2X+3 0 0 0 X 2X+3 2X+3 X+3 2X 3 X 2X 2X+3 2X X X 2X 3 X+3 X 3 2X X+3 3 X+6 0 0 3 X+6 2X+6 X X+3 X+6 2X 2X+6 X+6 2X+6 generates a code of length 36 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 63. Homogenous weight enumerator: w(x)=1x^0+126x^63+210x^64+204x^65+432x^66+564x^67+624x^68+808x^69+2580x^70+1596x^71+3684x^72+4506x^73+1596x^74+1104x^75+486x^76+204x^77+288x^78+282x^79+114x^80+86x^81+108x^82+36x^83+30x^84+12x^85+2x^96 The gray image is a code over GF(3) with n=324, k=9 and d=189. This code was found by Heurico 1.16 in 0.953 seconds.