The generator matrix 1 1 1 1 1 1 1 0 2 0 0 0 4 0 0 0 2 0 0 4 0 0 0 0 2 0 4 0 0 0 0 0 2 4 0 generates a code of length 7 over Z8 who´s minimum homogenous weight is 2. Homogenous weight enumerator: w(x)=1x^0+28x^2+10x^3+86x^4+120x^5+141x^6+1276x^7+141x^8+120x^9+86x^10+10x^11+28x^12+1x^14 The gray image is a code over GF(2) with n=28, k=11 and d=4. This code was found by Heurico 1.16 in 0.00207 seconds.