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 3 3 3 3 1 1 3 3 3 3 1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 3 3 3 3 3 9 9 9 9 9 0 3 9 0 0 1 1 1 1 1 3 1 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 0 9 9 0 9 18 18 18 0 0 9 9 9 9 0 9 0 9 18 18 18 0 18 18 18 0 0 9 9 0 9 18 18 18 0 9 9 9 0 18 18 18 0 9 18 0 9 9 0 18 9 0 0 0 9 18 9 0 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 0 9 18 9 18 0 0 9 18 0 9 18 9 18 0 9 9 18 0 0 9 18 18 0 9 18 0 9 18 9 18 0 0 9 18 9 18 9 0 18 0 9 18 9 18 0 18 0 18 0 9 0 9 0 9 18 0 9 0 18 generates a code of length 96 over Z27 who´s minimum homogenous weight is 192. Homogenous weight enumerator: w(x)=1x^0+222x^192+4x^198+12x^201+4x^207 The gray image is a code over GF(3) with n=864, k=5 and d=576. This code was found by Heurico 1.16 in 1.32 seconds.