The generator matrix 1 0 0 0 1 1 1 1 0 1 0 0 3 0 0 0 0 0 1 0 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 generates a code of length 8 over Z8 who´s minimum homogenous weight is 2. Homogenous weight enumerator: w(x)=1x^0+80x^2+192x^3+796x^4+1344x^5+4784x^6+13824x^7+23494x^8+13824x^9+4784x^10+1344x^11+796x^12+192x^13+80x^14+1x^16 The gray image is a code over GF(2) with n=32, k=16 and d=4. This code was found by Heurico 1.16 in 0.699 seconds.