The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  0  1  1  2  0  1  1  1  1  2  4  2  4  2  2  2  2
 0  2  0  6  4  6  4  2  0  6  6  2  0  6  6  2  4  4  2  2  2  2  2  2  0  4  0  4
 0  0  4  4  4  0  0  4  0  0  4  0  4  4  0  4  4  0  4  0  4  0  0  4  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+56x^28+7x^32

The gray image is a code over GF(2) with n=112, k=6 and d=56.
This code was found by Heurico 1.16 in 0.0067 seconds.