The generator matrix 1 0 0 0 1 1 0 1 0 0 1 2 0 0 1 0 1 3 0 0 0 1 2 1 generates a code of length 6 over Z8 who´s minimum homogenous weight is 3. Homogenous weight enumerator: w(x)=1x^0+96x^3+279x^4+1056x^5+1232x^6+1056x^7+279x^8+96x^9+1x^12 The gray image is a code over GF(2) with n=24, k=12 and d=6. This code was found by Heurico 1.11 in 0.000951 seconds.