The generator matrix 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 0 9 0 0 0 0 0 9 9 9 9 0 9 9 18 0 0 9 0 0 0 9 18 18 9 18 9 0 0 0 0 0 0 9 0 0 18 18 18 0 0 9 9 18 0 0 0 0 0 9 0 18 9 18 9 0 18 9 0 18 0 0 0 0 0 9 9 0 9 9 18 18 0 9 18 generates a code of length 15 over Z27 who´s minimum homogenous weight is 21. Homogenous weight enumerator: w(x)=1x^0+64x^21+120x^24+98x^27+486x^28+4522x^30+972x^31+120x^33+126x^36+40x^39+12x^42 The gray image is a code over GF(3) with n=135, k=8 and d=63. This code was found by Heurico 1.16 in 1.31 seconds.