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

generates a code of length 41 over Z8 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+75x^28+39x^30+173x^32+118x^34+211x^36+181x^38+512x^39+220x^40+5120x^41+226x^42+512x^43+193x^44+220x^46+114x^48+162x^50+33x^52+71x^54+4x^56+6x^58+1x^78

The gray image is a code over GF(2) with n=164, k=13 and d=56.
This code was found by Heurico 1.16 in 2.54 seconds.