The generator matrix 1 0 1 1 1 1 0 1 0 1 1 3 1 1 1 1 1 1 0 1 0 0 7 7 1 7 1 3 4 1 3 1 0 7 3 4 0 0 3 0 6 6 0 3 3 6 0 6 3 6 3 0 0 3 0 0 0 3 3 6 3 6 0 6 0 3 3 0 6 3 6 3 generates a code of length 18 over Z9 who´s minimum homogenous weight is 31. Homogenous weight enumerator: w(x)=1x^0+84x^31+36x^33+156x^34+186x^36+108x^37+114x^40+18x^42+24x^43+2x^54 The gray image is a code over GF(3) with n=54, k=6 and d=31. This code was found by Heurico 1.16 in 0.81 seconds.