The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+56x^35+212x^36+528x^37+856x^38+1334x^39+1874x^40+2506x^41+3320x^42+3624x^43+3885x^44+3954x^45+3302x^46+2644x^47+1941x^48+1206x^49+736x^50+384x^51+198x^52+118x^53+40x^54+22x^55+16x^56+8x^57+1x^60+2x^62

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 21.8 seconds.