The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+76x^35+295x^36+418x^37+883x^38+1240x^39+1890x^40+2448x^41+3257x^42+4022x^43+3680x^44+3866x^45+3395x^46+2750x^47+1857x^48+1110x^49+847x^50+326x^51+199x^52+92x^53+57x^54+34x^55+12x^56+2x^57+7x^58+2x^60+1x^62+1x^66

The gray image is a code over GF(2) with n=176, k=15 and d=70.
This code was found by Heurico 1.16 in 45.8 seconds.