The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+120x^35+513x^36+978x^37+1603x^38+2842x^39+3701x^40+5270x^41+6215x^42+7562x^43+7534x^44+7774x^45+6535x^46+5592x^47+3597x^48+2584x^49+1537x^50+858x^51+389x^52+156x^53+110x^54+50x^55+9x^56+6x^57

The gray image is a code over GF(2) with n=176, k=16 and d=70.
This code was found by Heurico 1.16 in 73.2 seconds.