The generator matrix 1 1 1 1 1 1 1 1 1 3 3 3 0 3 0 0 0 0 0 3 3 3 3 3 0 0 3 0 0 0 3 6 6 3 3 0 0 0 0 3 0 0 6 6 3 0 3 6 0 0 0 0 3 0 6 3 6 3 0 6 0 0 0 0 0 3 3 0 3 3 6 6 generates a code of length 12 over Z9 who´s minimum homogenous weight is 18. Homogenous weight enumerator: w(x)=1x^0+318x^18+324x^21+648x^24+872x^27+24x^36 The gray image is a code over GF(3) with n=36, k=7 and d=18. This code was found by Heurico 1.16 in 0.00799 seconds.