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

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

Homogenous weight enumerator: w(x)=1x^0+156x^34+4x^35+403x^36+52x^37+794x^38+224x^39+1413x^40+640x^41+2097x^42+1128x^43+2533x^44+1128x^45+2172x^46+640x^47+1407x^48+224x^49+782x^50+52x^51+346x^52+4x^53+130x^54+35x^56+13x^58+5x^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 16.3 seconds.