The generator matrix 1 1 1 1 1 1 1 0 3 24 9 21 6 18 generates a code of length 7 over Z27 who´s minimum homogenous weight is 12. Homogenous weight enumerator: w(x)=1x^0+2x^12+24x^13+198x^14+4x^15+12x^16+2x^21 The gray image is a code over GF(3) with n=63, k=5 and d=36. This code was found by Heurico 1.16 in 0.000127 seconds.