The generator matrix

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

generates a code of length 44 over Z8 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+141x^34+452x^36+36x^37+814x^38+172x^39+1453x^40+548x^41+2049x^42+1292x^43+2438x^44+1292x^45+2144x^46+548x^47+1419x^48+172x^49+851x^50+36x^51+329x^52+130x^54+47x^56+15x^58+4x^60+1x^68

The gray image is a code over GF(2) with n=176, k=14 and d=68.
This code was found by Heurico 1.16 in 9.42 seconds.