The generator matrix 1 1 1 1 1 0 2 0 2 0 0 0 2 2 0 0 0 0 4 0 generates a code of length 5 over Z8 who´s minimum homogenous weight is 2. Homogenous weight enumerator: w(x)=1x^0+15x^2+12x^3+16x^4+168x^5+16x^6+12x^7+15x^8+1x^10 The gray image is a code over GF(2) with n=20, k=8 and d=4. This code was found by Heurico 1.16 in 0.000116 seconds.