The generator matrix 1 0 1 1 1 1 1 21 1 1 1 24 1 1 1 1 1 1 0 1 7 26 21 4 20 1 24 19 23 1 0 16 20 0 0 0 0 0 9 0 0 0 18 18 0 18 9 9 0 18 0 0 9 0 0 0 0 9 0 0 18 9 18 9 0 9 9 18 9 0 18 0 0 0 0 0 18 0 18 9 9 0 9 18 9 0 0 0 18 0 0 0 0 0 0 9 0 9 9 18 18 9 18 18 18 9 9 0 generates a code of length 18 over Z27 who´s minimum homogenous weight is 24. Homogenous weight enumerator: w(x)=1x^0+30x^24+18x^25+54x^26+72x^27+96x^28+324x^29+144x^30+636x^31+1728x^32+420x^33+14064x^34+4968x^35+768x^36+27930x^37+5184x^38+546x^39+876x^40+864x^41+138x^42+120x^43+48x^45+12x^48+6x^51+2x^54 The gray image is a code over GF(3) with n=162, k=10 and d=72. This code was found by Heurico 1.16 in 1.45 seconds.