The generator matrix

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

generates a code of length 57 over Z8 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+285x^52+388x^54+428x^56+326x^58+360x^60+170x^62+57x^64+10x^66+9x^68+2x^70+8x^72+2x^76+2x^80

The gray image is a code over GF(2) with n=228, k=11 and d=104.
This code was found by Heurico 1.16 in 34.2 seconds.