The generator matrix 1 1 1 1 1 1 1 1 1 0 3 0 3 0 3 6 6 6 0 0 3 6 6 3 0 3 6 generates a code of length 9 over Z9 who´s minimum homogenous weight is 18. Homogenous weight enumerator: w(x)=1x^0+78x^18+2x^27 The gray image is a code over GF(3) with n=27, k=4 and d=18. This code was found by Heurico 1.16 in 0.000186 seconds.