The generator matrix 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 0 9 0 0 0 0 9 18 18 0 9 0 9 9 18 0 0 9 0 0 9 18 0 18 0 9 9 18 0 18 0 0 0 9 0 18 18 9 0 9 9 18 9 18 9 0 0 0 0 9 18 18 18 18 18 18 0 0 18 18 generates a code of length 15 over Z27 who´s minimum homogenous weight is 24. Homogenous weight enumerator: w(x)=1x^0+60x^24+40x^27+162x^28+1520x^30+324x^31+20x^33+40x^36+10x^39+10x^42 The gray image is a code over GF(3) with n=135, k=7 and d=72. This code was found by Heurico 1.16 in 0.0923 seconds.