The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  2  1  1  4  0  0  1  1  2  2  1  1  2  0  1  1  2  1  4  1  1  1  0  1  1  0  1  1
 0  2  0  2  0  0  2  6  0  0  2  6  4  4  2  6  2  0  6  2  2  4  4  6  6  0  4  2  2  0  2  0  6  0  2  2  0  2  2  6  4  2  2  2
 0  0  2  2  0  6  2  0  0  6  2  0  6  2  2  4  6  0  0  6  4  2  2  0  0  6  4  2  6  2  2  0  4  4  2  0  6  0  0  4  0  4  2  2
 0  0  0  4  0  0  0  0  0  0  0  0  0  0  0  4  4  4  4  4  4  0  4  0  0  0  4  4  4  0  0  0  0  0  4  0  4  4  0  0  4  4  0  0
 0  0  0  0  4  0  0  0  0  0  0  0  0  4  4  0  0  4  0  4  4  0  4  4  0  4  0  4  0  4  4  4  4  4  4  0  4  4  4  4  4  4  4  4
 0  0  0  0  0  4  0  0  0  0  0  0  4  4  4  4  4  4  0  4  0  0  0  0  0  0  4  0  4  0  4  0  0  4  4  4  0  4  4  4  4  4  0  4
 0  0  0  0  0  0  4  0  0  0  0  0  0  0  4  4  4  4  0  0  0  0  4  0  4  4  0  4  4  0  0  0  0  4  4  0  4  0  4  4  0  4  4  4
 0  0  0  0  0  0  0  4  0  0  0  4  0  0  4  0  4  4  4  4  0  0  0  0  0  4  0  0  4  4  4  0  0  0  0  0  4  4  4  0  0  4  0  4
 0  0  0  0  0  0  0  0  4  0  0  0  0  4  4  0  4  4  4  0  4  4  0  4  4  4  4  4  4  4  4  0  4  0  4  4  0  4  4  0  4  4  0  4
 0  0  0  0  0  0  0  0  0  4  0  4  4  0  4  4  4  0  4  0  0  4  4  4  0  0  4  0  4  0  0  4  4  4  0  0  4  4  4  0  4  4  4  4
 0  0  0  0  0  0  0  0  0  0  4  0  0  0  4  4  0  4  4  4  4  4  4  0  4  0  4  0  4  0  4  4  4  4  4  0  0  0  0  4  4  4  4  4

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

Homogenous weight enumerator: w(x)=1x^0+195x^32+248x^34+869x^36+128x^37+1040x^38+896x^39+2034x^40+2688x^41+2226x^42+4480x^43+2941x^44+4480x^45+2426x^46+2688x^47+2222x^48+896x^49+1020x^50+128x^51+761x^52+180x^54+154x^56+26x^58+35x^60+2x^62+2x^64+2x^68

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 33.4 seconds.