The generator matrix 1 1 1 0 2 4 generates a code of length 3 over Z8 who´s minimum homogenous weight is 2. Homogenous weight enumerator: w(x)=1x^0+3x^2+24x^3+3x^4+1x^6 The gray image is a code over GF(2) with n=12, k=5 and d=4. This code was found by Heurico 1.16 in 2.81e-005 seconds.