The generator matrix 1 1 1 0 3 24 0 0 9 generates a code of length 3 over Z27 who´s minimum homogenous weight is 3. Homogenous weight enumerator: w(x)=1x^0+6x^3+54x^4+552x^6+108x^7+8x^9 The gray image is a code over GF(3) with n=27, k=6 and d=9. This code was found by Heurico 1.16 in 6.79e-005 seconds.