The generator matrix 1 1 1 1 1 1 1 1 1 1 2 0 2 4 1 1 2 2 1 1 2 2 0 4 4 0 2 1 0 2 4 6 0 6 4 2 0 6 6 2 2 2 4 2 0 4 0 4 6 2 2 2 4 4 0 0 generates a code of length 28 over Z8 who´s minimum homogenous weight is 28. Homogenous weight enumerator: w(x)=1x^0+19x^28+4x^29+3x^30+4x^31+1x^34 The gray image is a code over GF(2) with n=112, k=5 and d=56. This code was found by Heurico 1.16 in 0.00383 seconds.