The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+100x^35+446x^36+976x^37+1823x^38+2550x^39+4175x^40+4986x^41+6454x^42+7054x^43+7924x^44+7458x^45+6677x^46+5260x^47+4077x^48+2408x^49+1725x^50+730x^51+394x^52+170x^53+84x^54+50x^55+7x^56+2x^57+5x^58

The gray image is a code over GF(2) with n=176, k=16 and d=70.
This code was found by Heurico 1.11 in 33.5 seconds.