The generator matrix

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

generates a code of length 40 over Z8 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+42x^28+173x^30+424x^32+16x^33+679x^34+176x^35+1341x^36+656x^37+2137x^38+1200x^39+2588x^40+1200x^41+2279x^42+656x^43+1380x^44+176x^45+711x^46+16x^47+293x^48+141x^50+69x^52+19x^54+6x^56+5x^58

The gray image is a code over GF(2) with n=160, k=14 and d=56.
This code was found by Heurico 1.16 in 7.51 seconds.