The generator matrix 1 0 1 1 1 1 0 1 1 0 0 0 0 0 2 0 0 4 0 0 0 2 0 4 0 0 0 0 2 4 generates a code of length 6 over Z8 who´s minimum homogenous weight is 2. Homogenous weight enumerator: w(x)=1x^0+38x^2+64x^3+223x^4+960x^5+1524x^6+960x^7+223x^8+64x^9+38x^10+1x^12 The gray image is a code over GF(2) with n=24, k=12 and d=4. This code was found by Heurico 1.16 in 0.00349 seconds.