The generator matrix 1 1 1 1 1 1 1 1 1 3 0 9 0 0 0 0 0 9 9 9 0 0 9 0 0 0 9 18 18 9 0 0 0 9 0 0 18 18 9 0 0 0 0 0 9 0 18 9 18 9 0 0 0 0 0 9 9 0 9 9 generates a code of length 10 over Z27 who´s minimum homogenous weight is 12. Homogenous weight enumerator: w(x)=1x^0+60x^12+144x^15+546x^18+4374x^20+1212x^21+180x^24+20x^27+24x^30 The gray image is a code over GF(3) with n=90, k=8 and d=36. This code was found by Heurico 1.16 in 0.0133 seconds.