The generator matrix 1 1 1 1 1 0 4 0 4 0 0 0 4 4 0 generates a code of length 5 over Z8 who´s minimum homogenous weight is 4. Homogenous weight enumerator: w(x)=1x^0+3x^4+24x^5+3x^6+1x^10 The gray image is a code over GF(2) with n=20, k=5 and d=8. This code was found by Heurico 1.16 in 7.39e-005 seconds.