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

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

Homogenous weight enumerator: w(x)=1x^0+27x^52+20x^53+24x^54+112x^55+155x^56+104x^57+20x^58+16x^59+25x^60+4x^61+3x^62+1x^110

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 0.0723 seconds.