The generator matrix

 1  0  0  1  1  1  6  1  1  0  1  1  2  4  1  1  1  1  0  2  2  1  1  1  1  4  1  1  1  0  0  1  2  1  1  6  6  1  1  1
 0  1  0  1  6  3  1  0  1  1  2  3  1  2  2  0  3  1  1  2  1  2  6  1  7  1  5  4  7  1  0  2  2  0  2  1  1  2  0  0
 0  0  1  1  3  6  3  6  3  6  1  0  1  1  2  3  3  2  3  1  2  2  3  2  1  1  3  1  2  3  1  5  1  0  5  3  7  1  0  0
 0  0  0  4  0  0  0  0  0  0  4  0  4  4  0  0  4  0  0  0  0  4  4  4  4  0  4  4  4  0  4  0  0  0  0  4  0  4  0  0
 0  0  0  0  4  0  0  0  0  0  4  0  0  0  0  4  4  4  0  4  4  4  4  0  0  4  0  0  4  0  4  0  4  4  0  4  4  0  0  0
 0  0  0  0  0  4  0  0  0  0  0  4  0  0  4  4  0  4  0  4  4  4  0  4  0  0  4  0  4  0  0  4  0  4  0  0  4  4  0  0
 0  0  0  0  0  0  4  0  0  0  0  0  4  0  4  4  4  4  4  0  4  0  4  4  4  4  0  4  0  0  0  4  4  0  4  4  4  0  0  0
 0  0  0  0  0  0  0  4  0  0  0  4  4  4  0  4  4  4  0  0  0  4  0  0  4  0  4  0  4  4  0  4  4  0  0  4  4  0  0  0
 0  0  0  0  0  0  0  0  4  0  4  0  4  4  4  4  0  0  4  4  4  4  4  4  0  0  0  0  0  4  0  4  0  0  0  4  4  4  0  0
 0  0  0  0  0  0  0  0  0  4  4  4  0  4  4  0  0  4  0  0  4  4  0  4  4  0  0  4  4  4  4  0  4  4  0  4  4  4  4  0

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

Homogenous weight enumerator: w(x)=1x^0+36x^28+6x^29+154x^30+148x^31+463x^32+564x^33+1703x^34+1766x^35+4477x^36+3900x^37+8442x^38+5824x^39+10437x^40+5968x^41+8391x^42+3988x^43+4542x^44+1734x^45+1662x^46+540x^47+470x^48+108x^49+109x^50+22x^51+49x^52+8x^53+14x^54+5x^56+5x^58

The gray image is a code over GF(2) with n=160, k=16 and d=56.
This code was found by Heurico 1.16 in 58.6 seconds.