The generator matrix 1 1 1 1 1 1 1 1 1 X X X 0 X 0 0 6 2X 3 X 2X 3 X+3 X 0 0 X 0 3 2X 2X X+3 3 X+3 6 X 0 0 0 X 2X+3 6 3 2X+3 X+3 2X 0 2X generates a code of length 12 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 18. Homogenous weight enumerator: w(x)=1x^0+420x^18+486x^20+1440x^21+1458x^22+1944x^23+6966x^24+2916x^25+1944x^26+1928x^27+180x^30 The gray image is a code over GF(3) with n=108, k=9 and d=54. This code was found by Heurico 1.16 in 0.203 seconds.