The generator matrix 1 1 1 1 1 1 3 1 0 3 24 0 21 24 21 9 0 0 9 9 18 18 9 18 generates a code of length 8 over Z27 who´s minimum homogenous weight is 12. Homogenous weight enumerator: w(x)=1x^0+14x^12+18x^13+72x^14+60x^15+342x^16+144x^17+56x^18+18x^19+4x^21 The gray image is a code over GF(3) with n=72, k=6 and d=36. This code was found by Heurico 1.16 in 0.000411 seconds.