The generator matrix 1 1 1 1 1 1 1 0 9 0 0 9 0 9 0 0 9 0 18 9 18 0 0 0 9 18 18 9 generates a code of length 7 over Z27 who´s minimum homogenous weight is 9. Homogenous weight enumerator: w(x)=1x^0+12x^9+22x^12+648x^14+30x^15+8x^18+8x^21 The gray image is a code over GF(3) with n=63, k=6 and d=27. This code was found by Heurico 1.16 in 0.000292 seconds.