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  2  0  2  0  2  0  2  0  2  4  2  0  2  0  2  4  2  4  2  0  4  2  2  1
 0  2  0  6  0  6  0  2  0  6  0  2  0  6  0  2  4  6  4  2  4  6  4  2  4  6  4  2  4  6  4  2  6  2  6  2  6  2  6  2  2  2  6  2  6  2  2  2  6  0  2  2  2  0  0  0
 0  0  4  0  0  0  4  0  0  4  0  4  4  4  4  4  4  0  4  0  4  0  4  0  0  4  0  4  0  4  0  4  0  0  0  4  0  4  4  4  4  4  4  0  0  0  4  0  4  4  0  0  0  0  0  0
 0  0  0  4  0  0  0  4  4  4  4  4  4  0  4  0  0  0  0  0  4  4  4  4  4  4  4  4  0  0  0  0  0  0  4  4  4  4  0  0  0  0  4  0  0  4  4  4  4  4  4  4  0  0  0  0
 0  0  0  0  4  4  4  4  4  0  0  4  0  4  4  0  0  0  4  4  4  4  0  0  0  4  4  0  4  0  0  4  0  4  4  0  0  4  4  0  0  4  0  0  4  4  4  0  4  4  4  0  4  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+18x^52+34x^53+26x^54+48x^55+12x^56+52x^57+4x^58+32x^59+26x^61+1x^66+1x^72+1x^74

The gray image is a code over GF(2) with n=224, k=8 and d=104.
This code was found by Heurico 1.16 in 0.0607 seconds.