The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+14x^56+92x^57+14x^58+1x^64+4x^65+2x^66

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 0.0613 seconds.