The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+132x^28+62x^30+492x^32+576x^34+128x^35+1606x^36+640x^37+1926x^38+1280x^39+2688x^40+1280x^41+1920x^42+640x^43+1652x^44+128x^45+570x^46+478x^48+64x^50+94x^52+2x^54+20x^56+4x^60+1x^64

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 8.04 seconds.