The generator matrix 1 1 1 1 1 1 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 4 generates a code of length 6 over Z8 who´s minimum homogenous weight is 2. Homogenous weight enumerator: w(x)=1x^0+6x^2+15x^4+212x^6+15x^8+6x^10+1x^12 The gray image is a code over GF(2) with n=24, k=8 and d=4. This code was found by Heurico 1.16 in 0.000134 seconds.