The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 3 24 0 21 24 0 21 24 9 21 6 9 12 0 21 18 3 0 0 9 0 9 0 18 9 9 9 18 18 18 9 9 0 0 0 0 0 0 9 18 9 9 0 9 9 0 0 18 9 0 18 18 9 generates a code of length 18 over Z27 who´s minimum homogenous weight is 31. Homogenous weight enumerator: w(x)=1x^0+84x^31+36x^33+156x^34+1644x^36+108x^37+114x^40+18x^42+24x^43+2x^54 The gray image is a code over GF(3) with n=162, k=7 and d=93. This code was found by Heurico 1.16 in 0.364 seconds.