The generator matrix

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

generates a code of length 44 over Z8 who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+54x^35+200x^36+214x^37+299x^38+574x^39+1024x^40+1346x^41+1500x^42+1936x^43+2149x^44+1906x^45+1509x^46+1310x^47+1059x^48+578x^49+250x^50+208x^51+152x^52+48x^53+23x^54+12x^55+20x^56+4x^57+2x^58+2x^59+3x^60+1x^62

The gray image is a code over GF(2) with n=176, k=14 and d=70.
This code was found by Heurico 1.16 in 67.5 seconds.