The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  2  1  2  2  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  1  1
 0  4  0  0  0  4  4  4  0  0  0  4  0  4  4  4  0  0  0  4  4  4  4  0  0  0  0  4  4  4  4  0  0  0  4  0  4  4  4  0  0  0  4  0  4  4  4  0  0  0  0  4  0  4  4  4
 0  0  4  0  4  4  4  0  0  0  4  4  4  4  0  0  0  0  4  4  4  0  0  4  0  4  4  4  4  0  0  0  0  4  4  4  4  0  0  0  0  4  4  4  4  0  0  0  0  0  4  4  4  4  0  0
 0  0  0  4  4  0  4  4  0  4  4  0  0  4  4  0  0  4  4  0  4  4  0  0  4  4  0  0  4  4  0  0  4  4  0  0  4  4  0  0  4  4  0  0  4  4  0  0  0  4  4  0  0  4  4  0

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

Homogenous weight enumerator: w(x)=1x^0+60x^56+2x^64+1x^96

The gray image is a code over GF(2) with n=224, k=6 and d=112.
This code was found by Heurico 1.16 in 0.0593 seconds.