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

generates a code of length 40 over Z8 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+240x^36+128x^38+316x^40+128x^42+184x^44+18x^48+8x^52+1x^64

The gray image is a code over GF(2) with n=160, k=10 and d=72.
This code was found by Heurico 1.16 in 12.8 seconds.