The generator matrix 1 1 1 1 1 3 1 3 0 3 24 0 21 21 24 21 0 0 9 0 18 9 0 9 0 0 0 9 9 9 9 18 generates a code of length 8 over Z27 who´s minimum homogenous weight is 12. Homogenous weight enumerator: w(x)=1x^0+146x^12+536x^15+972x^16+512x^18+16x^21+4x^24 The gray image is a code over GF(3) with n=72, k=7 and d=36. This code was found by Heurico 1.16 in 0.00666 seconds.