The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  1  1  0  1  2  1  0  1  1  2  1  0  1  1  1  2  1  0  2  0  1  1  1  1  2  1  2  1  1  1
 0  2  0  6  0  6  0  6  0  6  2  4  6  2  0  6  6  2  0  6  6  6  2  0  4  6  6  6  2  6  2  2  0  0  0  6  0  6  0  0  0
 0  0  4  0  0  0  0  0  0  0  0  4  0  0  0  0  4  0  4  4  4  4  0  4  0  4  4  4  0  4  0  0  0  0  4  4  4  4  0  0  0
 0  0  0  4  0  0  0  0  0  0  0  0  4  0  0  0  0  0  0  4  4  4  4  4  4  0  4  4  0  0  4  0  0  4  4  4  0  0  0  0  0
 0  0  0  0  4  0  0  0  0  0  0  4  0  0  4  4  4  4  0  0  4  0  4  0  4  0  4  4  4  0  0  0  0  0  4  0  0  4  4  4  0
 0  0  0  0  0  4  0  0  0  0  0  0  4  0  0  4  0  4  4  0  0  4  0  4  0  4  4  0  4  4  0  4  4  0  4  4  0  4  0  0  0
 0  0  0  0  0  0  4  0  0  0  0  4  0  4  4  0  0  0  4  0  4  0  0  0  4  4  0  0  4  4  4  4  0  4  4  0  0  0  0  0  0
 0  0  0  0  0  0  0  4  0  0  0  0  4  4  4  0  0  4  4  4  4  0  0  0  0  0  4  0  4  0  4  4  0  0  0  4  4  0  0  0  0
 0  0  0  0  0  0  0  0  4  0  0  4  0  4  0  4  0  4  4  4  0  4  0  0  4  0  4  4  0  4  4  0  4  4  4  4  4  0  4  4  0
 0  0  0  0  0  0  0  0  0  4  0  0  4  4  4  4  4  0  0  0  4  0  0  4  0  0  0  4  0  4  4  4  0  4  0  0  4  0  4  4  0
 0  0  0  0  0  0  0  0  0  0  4  0  0  0  4  0  4  4  0  4  0  0  4  4  0  4  0  4  0  4  4  0  4  0  0  4  0  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+89x^28+63x^30+8x^31+187x^32+88x^33+270x^34+200x^35+807x^36+480x^37+1757x^38+816x^39+2972x^40+912x^41+2977x^42+816x^43+1767x^44+480x^45+795x^46+200x^47+256x^48+88x^49+197x^50+8x^51+57x^52+71x^54+8x^56+11x^58+2x^62+1x^66

The gray image is a code over GF(2) with n=164, k=14 and d=56.
This code was found by Heurico 1.16 in 8.02 seconds.