The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+115x^32+12x^33+202x^34+152x^35+839x^36+624x^37+2144x^38+2060x^39+4645x^40+3752x^41+7854x^42+5632x^43+9211x^44+5808x^45+7968x^46+3720x^47+4818x^48+1964x^49+2134x^50+712x^51+717x^52+128x^53+160x^54+12x^55+114x^56+18x^58+17x^60+2x^64+1x^72

The gray image is a code over GF(2) with n=176, k=16 and d=64.
This code was found by Heurico 1.16 in 70.9 seconds.