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

generates a code of length 56 over Z8 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+53x^50+89x^52+64x^53+97x^54+128x^55+98x^56+320x^57+51x^58+43x^60+35x^62+24x^64+20x^66+1x^104

The gray image is a code over GF(2) with n=224, k=10 and d=100.
This code was found by Heurico 1.16 in 0.154 seconds.