The generator matrix 1 1 1 1 1 1 1 1 2 2 0 4 2 2 0 2 4 6 0 6 4 2 6 2 2 2 0 4 generates a code of length 14 over Z8 who´s minimum homogenous weight is 14. Homogenous weight enumerator: w(x)=1x^0+24x^14+7x^16 The gray image is a code over GF(2) with n=56, k=5 and d=28. This code was found by Heurico 1.16 in 0.000604 seconds.