The generator matrix

 1  0  0  1  1  1  6  2  1  1  1  2  4  1  0  1  1  1  0  6  1  1  2  4  1  1  1  2  1  2  1  6  1  0  1  1  1  1  0  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1
 0  1  0  0  1  5  1  1  4  7  3  4  1  2  1  2  6  3  1  6  1  3  1  4  5  6  2  1  3  1  4  1  6  1  0  5  1  5  1  2  0  6  1  7  2  0  0  7  7  7  2  2  4  2  6  0
 0  0  1  3  3  0  7  2  6  2  1  1  1  5  6  6  7  0  7  1  1  3  4  1  4  3  0  7  4  6  5  1  2  2  6  6  2  7  4  6  7  3  3  3  5  1  1  6  4  1  4  0  7  2  1  4
 0  0  0  4  0  0  4  4  4  4  4  4  0  0  0  4  0  4  4  0  4  0  4  4  0  4  0  0  0  0  0  4  4  0  4  0  4  4  4  0  0  0  4  0  4  4  4  4  0  0  4  0  4  0  0  4
 0  0  0  0  4  4  4  4  0  4  4  0  4  0  4  4  4  0  0  4  0  0  0  4  0  4  4  0  4  4  4  4  0  0  4  0  4  0  4  4  4  0  4  4  0  4  0  0  0  0  4  0  4  0  0  0

generates a code of length 56 over Z8 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+102x^51+197x^52+266x^53+284x^54+218x^55+182x^56+170x^57+152x^58+126x^59+118x^60+70x^61+63x^62+22x^63+13x^64+38x^65+12x^66+12x^67+1x^68+1x^78

The gray image is a code over GF(2) with n=224, k=11 and d=102.
This code was found by Heurico 1.16 in 0.169 seconds.