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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 3 24 0 21 24 21 6 0 9 21 24 0 12 15 9 21 6 9 3 9 6 3 6 18 3 24 0 0 9 9 21 21 3 12 24 6 6 24 9 12 24 15 18 3 18 9 18 15 15 3 21 12 21 6 24 18 18 12 6 3 24 6 0 18 15 15 21 12 3 0 18 12 12 0 9 18 21 0 0 9 0 18 0 9 18 9 18 18 0 9 18 18 0 0 18 18 9 9 9 9 0 18 0 9 0 9 18 9 18 9 18 0 18 0 9 18 0 18 18 0 18 9 0 9 0 0 18 18 0 0 9 9 9 18 0 18 0 18 0 18 18 9 0 18 0 0 0 18 9 9 9 18 0 9 9 0 0 0 9 9 9 18 18 18 9 18 18 0 0 9 18 9 0 18 9 9 18 0 0 0 18 9 18 9 0 0 0 0 9 9 0 9 9 18 0 18 9 18 18 18 9 18 18 0 0 18 0 18 9 0 18 9 0 9 18 0 0 9 18 0 9 18 18 0 9 0 18 18 9 9 9 9 0 generates a code of length 78 over Z27 who´s minimum homogenous weight is 153. Homogenous weight enumerator: w(x)=1x^0+106x^153+1998x^156+54x^159+26x^162+2x^234 The gray image is a code over GF(3) with n=702, k=7 and d=459. This code was found by Heurico 1.16 in 0.272 seconds.