The generator matrix 1 1 1 0 2 4 0 0 2 generates a code of length 3 over Z8 who´s minimum homogenous weight is 1. Homogenous weight enumerator: w(x)=1x^0+6x^1+15x^2+84x^3+15x^4+6x^5+1x^6 The gray image is a code over GF(2) with n=12, k=7 and d=2. This code was found by Heurico 1.16 in 4.91e-005 seconds.