The generator matrix 1 1 1 1 1 1 1 1 1 3 1 1 0 3 0 0 3 0 3 3 6 3 0 0 0 0 3 0 6 3 6 3 6 0 0 0 0 0 0 3 6 6 0 6 6 3 0 0 generates a code of length 12 over Z9 who´s minimum homogenous weight is 18. Homogenous weight enumerator: w(x)=1x^0+24x^18+54x^22+36x^24+108x^25+2x^27+18x^33 The gray image is a code over GF(3) with n=36, k=5 and d=18. This code was found by Heurico 1.16 in 0.000536 seconds.