The generator matrix

 1  0  0  1  1  1  2  6  4  6  1  1  1  1  1  2  1  1  4  1  4  1  0  1  1  2  1  6  1  1  1  1  1  1  0  0  1  1  1  1  1  1  1  1  1  1  6  1  1  4  1  1  4  2  2  1
 0  1  0  0  1  1  1  2  1  1  3  7  2  2  2  0  6  5  1  4  2  3  1  0  5  1  7  1  6  6  0  4  0  4  1  1  1  1  2  2  2  7  3  1  4  2  1  6  6  1  0  7  1  1  1  1
 0  0  1  1  4  5  1  1  1  0  4  3  5  0  7  1  6  1  0  2  1  6  3  3  2  3  7  4  7  5  5  0  7  6  6  6  3  3  3  2  2  4  1  0  6  4  1  1  0  5  6  1  3  7  5  1
 0  0  0  4  0  4  4  4  0  4  4  0  0  4  0  0  4  0  4  0  4  0  4  4  4  0  4  0  0  4  0  4  4  4  0  4  0  4  4  0  4  0  4  4  0  0  0  0  4  4  0  0  0  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+57x^52+186x^53+204x^54+120x^55+88x^56+88x^57+70x^58+48x^59+39x^60+26x^61+32x^62+40x^63+13x^64+4x^65+4x^66+2x^68+2x^74

The gray image is a code over GF(2) with n=224, k=10 and d=104.
This code was found by Heurico 1.11 in 0.08 seconds.