The generator matrix 1 1 1 1 1 1 1 1 0 3 0 0 0 0 3 0 0 0 3 0 0 0 6 0 0 0 0 3 0 0 6 0 0 0 0 0 3 0 6 0 0 0 0 0 0 3 6 0 generates a code of length 8 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 6. Homogenous weight enumerator: w(x)=1x^0+30x^6+52x^9+120x^12+180x^15+5832x^16+172x^18+132x^21+42x^24 The gray image is a code over GF(3) with n=72, k=8 and d=18. This code was found by Heurico 1.16 in 0.00619 seconds.