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 1 1 1 3 3 3 3 3 3 3 3 1 1 1 1 1 1 1 1 1 1 1 3 1 3 3 3 3 3 3 3 3 0 9 0 9 0 9 18 18 18 0 0 9 9 0 9 18 18 18 0 0 9 9 0 9 18 18 18 0 0 9 9 0 9 18 18 18 0 9 9 9 0 18 18 18 0 0 9 9 0 9 18 18 18 0 0 9 9 18 0 0 0 9 18 9 18 0 0 9 18 18 9 0 9 18 0 9 18 9 18 0 0 9 18 0 9 18 9 18 0 0 9 18 0 9 18 9 18 0 0 9 18 9 18 9 0 18 0 9 18 0 9 18 9 18 0 0 9 18 0 9 18 9 9 9 18 0 9 18 0 0 generates a code of length 65 over Z27 who´s minimum homogenous weight is 129. Homogenous weight enumerator: w(x)=1x^0+54x^129+162x^130+12x^132+6x^135+2x^144+6x^147 The gray image is a code over GF(3) with n=585, k=5 and d=387. This code was found by Heurico 1.16 in 0.0897 seconds.