The generator matrix 1 0 1 0 1 2 0 0 1 generates a code of length 3 over Z4 who´s minimum homogenous weight is 1. Homogenous weight enumerator: w(x)=1x^0+6x^1+15x^2+20x^3+15x^4+6x^5+1x^6 The gray image is a code over GF(2) with n=6, k=6 and d=1. This code was found by Heurico 1.16 in 7.1e-005 seconds.