The generator matrix

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

generates a code of length 52 over Z8 who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+157x^44+236x^45+764x^46+684x^47+1163x^48+1100x^49+1614x^50+1484x^51+1788x^52+1604x^53+1806x^54+1252x^55+1186x^56+612x^57+418x^58+164x^59+209x^60+32x^61+62x^62+34x^64+8x^66+6x^68

The gray image is a code over GF(2) with n=208, k=14 and d=88.
This code was found by Heurico 1.16 in 7.56 seconds.