The generator matrix 1 0 0 0 1 0 1 0 0 6 0 0 1 0 2 0 0 0 1 2 generates a code of length 5 over Z8 who´s minimum homogenous weight is 2. Homogenous weight enumerator: w(x)=1x^0+69x^2+240x^3+954x^4+1568x^5+954x^6+240x^7+69x^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 0.00339 seconds.