The generator matrix 1 1 1 1 1 1 0 2 0 0 0 4 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+30x^2+32x^3+127x^4+224x^5+1220x^6+224x^7+127x^8+32x^9+30x^10+1x^12 The gray image is a code over GF(2) with n=24, k=11 and d=4. This code was found by Heurico 1.16 in 0.00188 seconds.