The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  2  2  2  2  2  2  1  1  1
 0  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  4  4  4  4  0  0  4  4  4  0  4  0  4  4  4  0  4  4  0  0  4  0  4  0  0  0  0
 0  0  4  0  0  0  0  0  0  0  0  0  4  0  0  4  4  4  4  4  4  0  0  0  0  0  4  4  0  4  0  4  0  4  0  4  4  0  4  0  0  0  0  0
 0  0  0  4  0  0  0  0  0  0  0  0  4  4  4  4  4  0  4  4  4  0  4  4  4  0  4  0  4  0  4  4  0  4  4  4  0  0  0  4  0  0  0  0
 0  0  0  0  4  0  0  0  0  0  0  4  0  4  4  0  4  4  4  0  4  4  4  0  0  0  0  0  4  4  0  0  4  4  4  4  4  0  4  4  4  0  0  0
 0  0  0  0  0  4  0  0  0  0  0  4  0  0  4  4  4  4  4  0  0  4  0  0  4  4  0  0  0  0  4  4  0  4  0  0  0  0  4  4  4  0  0  0
 0  0  0  0  0  0  4  0  0  0  4  0  0  0  4  4  0  0  4  0  0  4  4  0  4  0  4  0  4  4  4  0  4  0  0  4  4  4  4  0  4  0  0  0
 0  0  0  0  0  0  0  4  0  0  4  0  0  4  0  0  4  0  0  4  0  4  4  0  0  4  4  4  0  0  4  4  0  4  0  0  4  0  0  4  4  0  0  0
 0  0  0  0  0  0  0  0  4  0  4  4  4  4  0  0  0  0  4  0  0  0  4  4  4  4  0  0  4  0  4  0  0  4  0  0  4  4  0  4  0  0  0  0
 0  0  0  0  0  0  0  0  0  4  4  4  4  0  0  4  4  4  4  4  0  4  0  4  0  4  0  4  4  4  4  0  4  4  4  4  0  0  4  0  4  4  4  0

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

Homogenous weight enumerator: w(x)=1x^0+65x^32+40x^34+99x^36+40x^37+64x^38+106x^40+320x^41+102x^42+2141x^44+528x^45+105x^46+66x^48+128x^49+92x^50+61x^52+8x^53+79x^54+18x^56+22x^58+3x^60+7x^62+1x^70

The gray image is a code over GF(2) with n=176, k=12 and d=64.
This code was found by Heurico 1.16 in 0.738 seconds.