The generator matrix 1 1 1 1 1 1 1 1 1 3 3 3 1 1 0 9 0 0 0 0 0 9 9 9 9 9 0 0 0 0 9 0 0 0 9 18 18 9 9 0 0 0 0 0 0 9 0 0 18 18 9 0 9 18 0 0 0 0 0 0 9 0 18 9 18 9 0 18 0 0 0 0 0 0 0 9 9 0 9 9 18 18 0 0 generates a code of length 14 over Z27 who´s minimum homogenous weight is 18. Homogenous weight enumerator: w(x)=1x^0+132x^18+54x^22+132x^24+324x^25+110x^27+5022x^28+432x^31+330x^33+24x^42 The gray image is a code over GF(3) with n=126, k=8 and d=54. This code was found by Heurico 1.16 in 0.0329 seconds.