The generator matrix 1 0 1 1 0 1 3 0 0 0 4 0 generates a code of length 4 over Z8 who´s minimum homogenous weight is 2. Homogenous weight enumerator: w(x)=1x^0+14x^2+24x^3+50x^4+24x^5+14x^6+1x^8 The gray image is a code over GF(2) with n=16, k=7 and d=4. This code was found by Heurico 1.16 in 5.58e-005 seconds.