The generator matrix 1 0 1 1 0 1 3 0 0 0 4 0 0 0 0 4 generates a code of length 4 over Z8 who´s minimum homogenous weight is 2. Homogenous weight enumerator: w(x)=1x^0+16x^2+48x^3+126x^4+48x^5+16x^6+1x^8 The gray image is a code over GF(2) with n=16, k=8 and d=4. This code was found by Heurico 1.16 in 7.41e-005 seconds.