The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  4  0  4  4  0  4  4  0  4  4  0  4  4  0  4  4  4  0  4  0  4  4  0  4  4  0  4  0  4  0  0  4  4  4  0  4  0  4  4
 0  0  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0  4  4  4  0  4  4  0  4  4  0  4  4  0  4  4  0  4  4  0  4  0  4  4  4  0  4  0  4  4  0  4  4  4  0  4  4  4  4  0
 0  0  0  4  0  0  0  0  0  0  0  4  4  4  4  4  4  0  4  4  4  4  0  4  4  0  4  0  4  4  0  0  0  4  4  4  4  0  0  0  0  0  0  0  4  0  4  0  0  4  4  4  4  0  4  4
 0  0  0  0  4  0  0  0  4  4  4  4  4  0  4  4  0  0  0  0  0  0  0  0  0  0  4  4  4  4  0  4  0  4  4  4  0  4  4  4  4  4  4  4  4  0  0  0  4  0  0  4  4  4  4  4
 0  0  0  0  0  4  0  4  4  4  0  0  0  0  4  4  4  0  0  0  0  0  0  0  4  4  4  0  4  0  4  4  4  0  0  4  4  0  0  4  0  4  4  4  0  4  4  0  4  4  4  4  0  0  4  4
 0  0  0  0  0  0  4  4  0  4  4  0  4  4  4  0  0  0  0  0  0  4  4  4  4  4  0  0  0  0  4  0  4  0  4  4  0  4  0  4  4  4  0  0  0  0  4  4  4  0  4  0  4  4  4  4

generates a code of length 56 over Z8 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+36x^52+438x^56+36x^60+1x^112

The gray image is a code over GF(2) with n=224, k=9 and d=104.
This code was found by Heurico 1.16 in 0.0887 seconds.