The generator matrix 1 0 0 0 1 1 1 0 1 0 0 3 0 0 0 0 1 0 1 0 0 0 0 0 1 1 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+77x^2+192x^3+659x^4+960x^5+3615x^6+5376x^7+3615x^8+960x^9+659x^10+192x^11+77x^12+1x^14 The gray image is a code over GF(2) with n=28, k=14 and d=4. This code was found by Heurico 1.16 in 0.0482 seconds.