The generator matrix

 1  0  1  1  1  0  1  1  2  1  6  1  1  1  0  1  1  4  2  1  0  2  1  1  1  1  6  1  1  1  0  1  1  1  0  4  1  4  4  1  1  0  4  1
 0  1  1  0  3  1  2  3  1  6  1  5  0  3  1  4  7  1  1  2  1  1  7  3  6  5  1  2  4  1  1  7  6  3  1  1  5  2  4  5  4  1  2  0
 0  0  2  6  0  6  2  6  2  0  4  0  4  0  0  2  6  6  2  2  0  2  6  4  0  0  4  6  2  6  4  6  4  0  0  4  0  2  2  0  6  6  2  0
 0  0  0  4  0  0  0  0  0  0  0  0  0  4  4  0  4  4  0  4  0  0  4  4  0  0  4  0  4  4  0  4  0  0  4  4  4  4  0  4  4  4  0  0
 0  0  0  0  4  0  0  0  0  0  0  4  0  4  0  0  0  0  4  4  4  4  4  0  0  4  4  0  0  0  0  4  0  4  4  0  4  4  4  0  0  4  4  0
 0  0  0  0  0  4  0  0  0  0  0  4  4  4  0  4  4  4  4  0  0  0  0  4  0  4  4  4  4  0  4  4  0  4  0  4  4  4  4  0  4  0  0  0
 0  0  0  0  0  0  4  0  0  0  0  0  0  4  4  4  4  4  4  0  4  4  0  0  4  0  0  0  4  0  0  0  4  4  4  0  4  0  0  4  0  4  4  0
 0  0  0  0  0  0  0  4  0  4  4  0  4  0  4  4  0  4  4  0  4  0  0  4  0  0  4  0  4  0  0  4  0  0  4  4  0  0  4  0  4  4  4  4
 0  0  0  0  0  0  0  0  4  0  0  4  4  4  0  4  4  0  0  4  0  4  0  4  4  0  0  4  0  4  0  0  0  4  0  0  0  4  0  4  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+42x^34+58x^35+135x^36+212x^37+472x^38+584x^39+922x^40+1260x^41+1578x^42+1952x^43+1888x^44+2020x^45+1597x^46+1292x^47+993x^48+548x^49+355x^50+198x^51+135x^52+56x^53+42x^54+12x^55+20x^56+8x^58+2x^60+1x^62+1x^66

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 6.76 seconds.