The generator matrix 1 0 0 1 0 1 0 2 0 0 1 0 0 0 0 1 generates a code of length 4 over Z8 who´s minimum homogenous weight is 1. Homogenous weight enumerator: w(x)=1x^0+24x^1+220x^2+936x^3+1734x^4+936x^5+220x^6+24x^7+1x^8 The gray image is a code over GF(2) with n=16, k=12 and d=2. This code was found by Heurico 1.16 in 0.00177 seconds.