The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 0 9 0 0 0 0 0 9 9 0 0 18 9 9 18 9 0 0 0 9 0 0 0 9 18 18 0 18 9 9 0 0 18 18 0 0 0 9 0 0 18 18 9 9 0 9 0 18 18 9 0 0 0 0 0 9 0 18 9 18 9 18 0 0 18 0 0 9 0 0 0 0 0 9 9 0 9 9 18 18 9 0 9 0 0 generates a code of length 17 over Z27 who´s minimum homogenous weight is 24. Homogenous weight enumerator: w(x)=1x^0+50x^24+90x^27+118x^30+486x^32+128x^33+4374x^34+972x^35+118x^36+124x^39+74x^42+16x^45+10x^48 The gray image is a code over GF(3) with n=153, k=8 and d=72. This code was found by Heurico 1.16 in 0.0539 seconds.