The generator matrix 1 0 1 1 1 1 1 1 21 1 1 1 1 0 1 1 26 7 18 21 26 1 4 20 18 0 0 0 24 0 0 21 15 24 18 18 15 3 0 0 0 0 9 0 18 9 0 9 18 0 9 0 0 0 0 0 9 18 18 18 9 0 0 18 9 generates a code of length 13 over Z27 who´s minimum homogenous weight is 18. Homogenous weight enumerator: w(x)=1x^0+80x^18+24x^19+318x^20+432x^21+1164x^22+1230x^23+9204x^24+4464x^25+17082x^26+17938x^27+4494x^28+1698x^29+720x^30+60x^31+84x^32+48x^33+8x^36 The gray image is a code over GF(3) with n=117, k=10 and d=54. This code was found by Heurico 1.16 in 0.953 seconds.