The generator matrix 1 1 1 1 1 1 1 1 1 3 3 0 1 1 3 1 0 3 0 21 0 24 3 15 24 18 0 18 18 12 3 0 0 0 3 6 24 0 3 21 24 21 24 3 21 24 12 21 0 0 0 9 0 0 18 9 18 18 18 0 9 9 18 0 0 0 0 0 9 18 9 9 9 18 18 18 0 18 18 9 generates a code of length 16 over Z27 who´s minimum homogenous weight is 24. Homogenous weight enumerator: w(x)=1x^0+82x^24+102x^25+102x^26+478x^27+720x^28+294x^29+3872x^30+2400x^31+612x^32+7122x^33+2364x^34+402x^35+736x^36+234x^37+48x^38+88x^39+12x^40+14x^42 The gray image is a code over GF(3) with n=144, k=9 and d=72. This code was found by Heurico 1.16 in 0.317 seconds.