The generator matrix 1 0 0 1 0 1 0 7 0 0 1 5 generates a code of length 4 over Z9 who´s minimum homogenous weight is 4. Homogenous weight enumerator: w(x)=1x^0+36x^4+84x^6+144x^7+162x^8+152x^9+144x^10+6x^12 The gray image is a code over GF(3) with n=12, k=6 and d=4. This code was found by Heurico 1.16 in 8.8e-005 seconds.