The generator matrix 1 1 1 1 1 0 6 0 6 0 0 0 6 3 0 generates a code of length 5 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 6. Homogenous weight enumerator: w(x)=1x^0+6x^6+8x^9+216x^10+6x^12+6x^15 The gray image is a code over GF(3) with n=45, k=5 and d=18. This code was found by Heurico 1.16 in 5.7e-005 seconds.