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

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

Homogenous weight enumerator: w(x)=1x^0+42x^35+122x^36+190x^37+197x^38+348x^39+534x^40+576x^41+700x^42+892x^43+1061x^44+912x^45+694x^46+600x^47+434x^48+300x^49+172x^50+154x^51+136x^52+66x^53+29x^54+12x^55+14x^56+4x^57+1x^60+1x^64

The gray image is a code over GF(2) with n=176, k=13 and d=70.
This code was found by Heurico 1.16 in 2.51 seconds.