The generator matrix

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

generates a code of length 57 over Z8 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+156x^51+269x^52+348x^53+394x^54+382x^55+493x^56+394x^57+249x^58+318x^59+357x^60+230x^61+167x^62+152x^63+90x^64+46x^65+15x^66+12x^67+6x^68+6x^69+7x^70+2x^71+2x^75

The gray image is a code over GF(2) with n=228, k=12 and d=102.
This code was found by Heurico 1.16 in 0.578 seconds.