The generator matrix

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

generates a code of length 44 over Z8 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+142x^32+54x^34+16x^35+544x^36+48x^37+878x^38+800x^39+2526x^40+1760x^41+3644x^42+3520x^43+4864x^44+3520x^45+3740x^46+1760x^47+2487x^48+800x^49+846x^50+48x^51+560x^52+16x^53+54x^54+122x^56+16x^60+1x^64+1x^80

The gray image is a code over GF(2) with n=176, k=15 and d=64.
This code was found by Heurico 1.16 in 23.7 seconds.