The generator matrix 1 0 0 1 1 1 1 0 1 0 1 0 0 0 0 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 generates a code of length 7 over Z8 who´s minimum homogenous weight is 2. Homogenous weight enumerator: w(x)=1x^0+71x^2+184x^3+805x^4+2592x^5+6291x^6+12880x^7+6291x^8+2592x^9+805x^10+184x^11+71x^12+1x^14 The gray image is a code over GF(2) with n=28, k=15 and d=4. This code was found by Heurico 1.16 in 0.208 seconds.