The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+85x^34+198x^35+469x^36+1122x^37+1283x^38+2700x^39+3259x^40+5794x^41+5533x^42+8616x^43+7376x^44+8632x^45+5576x^46+5764x^47+3297x^48+2792x^49+1260x^50+1010x^51+427x^52+214x^53+85x^54+16x^55+19x^56+6x^57+1x^58+1x^82

The gray image is a code over GF(2) with n=176, k=16 and d=68.
This code was found by Heurico 1.16 in 81.6 seconds.