The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 4 0 0 0 4 0 0 4 4 0 0 4 4 0 0 4 0 0 4 0 4 4 0 4 4 4 4 0 0 0 4 0 4 4 4 0 0 4 0 0 4 0 0 0 0 4 4 4 0 0 4 4 4 4 4 generates a code of length 14 over Z8 who´s minimum homogenous weight is 12. Homogenous weight enumerator: w(x)=1x^0+15x^12+96x^14+15x^16+1x^28 The gray image is a code over GF(2) with n=56, k=7 and d=24. This code was found by Heurico 1.16 in 0.000965 seconds.