The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  4  0  0  1  0  0  1  0  1  1  1  2  1  1  2  1  1  1  0  1  1  1  1  1  1
 0  2  0  2  0  0  2  6  0  0  2  6  4  4  2  2  0  2  6  2  0  2  2  2  0  0  0  0  2  2  2  4  6  2  4  0  4  4  6  2  2  4  4  0
 0  0  2  2  0  6  2  0  0  6  2  4  0  2  2  4  6  6  0  2  2  0  0  4  2  4  2  0  0  4  2  2  2  6  6  2  0  2  2  0  2  2  2  0
 0  0  0  4  0  0  0  0  0  0  0  0  0  4  4  0  4  4  0  4  0  4  4  0  0  4  0  0  4  4  4  4  4  0  4  4  4  4  4  0  4  0  0  0
 0  0  0  0  4  0  0  0  0  0  0  0  4  4  4  4  4  0  4  4  4  4  4  4  0  4  0  0  0  0  4  0  0  4  4  4  0  4  4  4  0  0  0  0
 0  0  0  0  0  4  0  0  0  0  0  0  0  0  0  0  4  4  4  4  4  4  0  4  4  0  4  4  0  0  4  0  4  0  4  0  4  0  0  0  4  0  0  0
 0  0  0  0  0  0  4  0  0  0  4  0  0  0  4  4  0  4  4  0  0  0  0  4  4  0  4  0  4  0  0  0  4  4  4  4  0  4  0  0  4  0  0  0
 0  0  0  0  0  0  0  4  0  0  0  0  0  4  0  4  4  0  0  0  4  4  4  0  4  4  0  4  4  4  0  0  4  4  0  4  0  0  0  4  0  0  4  0
 0  0  0  0  0  0  0  0  4  0  0  0  4  4  4  4  0  0  0  0  0  4  0  4  0  4  4  0  4  4  4  0  4  0  0  0  4  0  4  4  0  0  4  0
 0  0  0  0  0  0  0  0  0  4  4  4  4  0  0  0  0  4  4  4  0  4  0  4  0  0  4  0  4  4  0  0  0  4  0  4  4  4  0  4  0  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+42x^32+38x^33+103x^34+124x^35+187x^36+258x^37+445x^38+512x^39+844x^40+1150x^41+1543x^42+2002x^43+1861x^44+2004x^45+1543x^46+1168x^47+911x^48+546x^49+373x^50+256x^51+197x^52+90x^53+75x^54+32x^55+39x^56+10x^57+13x^58+2x^59+11x^60+1x^62+2x^64+1x^72

The gray image is a code over GF(2) with n=176, k=14 and d=64.
This code was found by Heurico 1.16 in 9.01 seconds.