The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 9 0 0 9 0 9 9 18 0 0 9 9 18 18 18 0 9 0 0 9 0 18 9 18 9 18 0 9 9 0 0 0 9 18 9 0 0 0 9 18 18 0 18 18 18 9 0 18 0 9 18 0 9 generates a code of length 18 over Z27 who´s minimum homogenous weight is 33. Homogenous weight enumerator: w(x)=1x^0+36x^33+672x^36+18x^42+2x^54 The gray image is a code over GF(3) with n=162, k=6 and d=99. This code was found by Heurico 1.16 in 0.00209 seconds.