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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 0 3 0 3 3 9 3 3 9 1 1 3 3 3 3 1 0 3 24 0 21 24 9 21 6 9 12 6 9 12 24 0 3 6 18 18 21 12 15 15 18 3 15 0 21 24 0 21 24 9 12 6 9 12 6 9 0 21 12 24 6 18 18 3 3 15 15 18 3 15 21 24 21 3 24 3 12 6 3 12 6 3 0 0 9 18 9 18 0 0 0 9 9 18 18 18 9 0 9 0 9 0 9 0 18 18 18 0 9 0 18 9 18 18 9 0 0 18 0 18 9 9 9 0 18 18 9 9 0 9 0 18 18 0 0 9 18 9 0 18 18 0 9 18 0 9 0 9 9 0 18 18 9 9 0 0 9 18 18 0 0 18 generates a code of length 73 over Z27 who´s minimum homogenous weight is 144. Homogenous weight enumerator: w(x)=1x^0+392x^144+180x^147+126x^150+28x^153+2x^171 The gray image is a code over GF(3) with n=657, k=6 and d=432. This code was found by Heurico 1.16 in 0.196 seconds.