The generator matrix 1 0 1 1 1 1 1 0 1 1 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 2 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 generates a code of length 7 over Z8 who´s minimum homogenous weight is 2. Homogenous weight enumerator: w(x)=1x^0+37x^2+32x^3+187x^4+96x^5+1055x^6+1280x^7+1055x^8+96x^9+187x^10+32x^11+37x^12+1x^14 The gray image is a code over GF(2) with n=28, k=12 and d=4. This code was found by Heurico 1.16 in 0.00356 seconds.