The generator matrix 1 0 1 1 1 1 1 1 0 1 1 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 2 2 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+40x^2+32x^3+268x^4+288x^5+856x^6+3776x^7+5862x^8+3776x^9+856x^10+288x^11+268x^12+32x^13+40x^14+1x^16 The gray image is a code over GF(2) with n=32, k=14 and d=4. This code was found by Heurico 1.16 in 0.0625 seconds.