The generator matrix

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

generates a code of length 40 over Z8 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+38x^34+240x^35+255x^36+496x^37+320x^38+598x^39+360x^40+530x^41+288x^42+446x^43+192x^44+182x^45+48x^46+58x^47+23x^48+6x^49+10x^50+2x^51+1x^52+2x^53

The gray image is a code over GF(2) with n=160, k=12 and d=68.
This code was found by Heurico 1.16 in 0.323 seconds.