The generator matrix 1 1 1 1 1 1 1 1 1 0 3 24 0 21 0 21 9 21 0 0 9 0 9 9 9 18 0 0 0 0 9 18 18 0 18 18 generates a code of length 9 over Z27 who´s minimum homogenous weight is 13. Homogenous weight enumerator: w(x)=1x^0+48x^13+36x^15+126x^16+1644x^18+252x^19+60x^22+18x^24+2x^27 The gray image is a code over GF(3) with n=81, k=7 and d=39. This code was found by Heurico 1.16 in 0.0101 seconds.