The generator matrix 1 1 1 X 1 1 0 X 2X X 0 0 0 0 3 0 0 3 0 0 0 6 0 3 0 0 0 0 3 6 generates a code of length 6 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 6. Homogenous weight enumerator: w(x)=1x^0+48x^6+148x^9+972x^10+3222x^12+1944x^13+204x^15+22x^18 The gray image is a code over GF(3) with n=54, k=8 and d=18. This code was found by Heurico 1.16 in 0.00422 seconds.