The generator matrix

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

generates a code of length 57 over Z8 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+46x^56+32x^57+36x^58+7x^60+2x^62+1x^64+2x^66+1x^68

The gray image is a code over GF(2) with n=228, k=7 and d=112.
This code was found by Heurico 1.16 in 0.0453 seconds.