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 1 1 1 3 3 1 1 1 1 1 3 3 1 3 1 3 3 3 1 9 9 0 1 3 3 3 3 3 9 9 9 0 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 0 9 18 9 18 0 9 18 9 18 0 9 18 0 9 9 18 18 0 0 9 18 0 9 9 18 9 18 0 9 18 0 0 0 9 18 9 0 generates a code of length 71 over Z27 who´s minimum homogenous weight is 143. Homogenous weight enumerator: w(x)=1x^0+60x^143+2x^144+12x^146+6x^147 The gray image is a code over GF(3) with n=639, k=4 and d=429. This code was found by Heurico 1.16 in 0.123 seconds.