The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 1 1 1 3 3 1 1 1 1 3 3 3 1 1 3 3 3 9 9 0 3 1 1 3 3 3 9 3 1 0 9 18 0 9 18 0 9 18 0 9 18 0 9 18 0 9 18 0 9 18 0 9 18 0 9 18 0 9 18 0 9 18 9 18 0 9 18 9 18 0 9 18 0 9 18 0 9 18 0 9 18 9 18 9 0 0 9 0 9 18 0 0 18 generates a code of length 64 over Z27 who´s minimum homogenous weight is 129. Homogenous weight enumerator: w(x)=1x^0+72x^129+8x^135 The gray image is a code over GF(3) with n=576, k=4 and d=387. This code was found by Heurico 1.16 in 0.082 seconds.