The generator matrix 1 0 0 1 2 0 1 0 1 4 0 0 1 1 0 0 0 0 2 2 0 0 0 0 4 generates a code of length 5 over Z8 who´s minimum homogenous weight is 2. Homogenous weight enumerator: w(x)=1x^0+93x^2+288x^3+1058x^4+1216x^5+1058x^6+288x^7+93x^8+1x^10 The gray image is a code over GF(2) with n=20, k=12 and d=4. This code was found by Heurico 1.16 in 0.00398 seconds.