The generator matrix

 1  0  0  1  1  1  0  1  1  1  2  1  1  2  4  2  0  1  1  6  1  4  1  1  1  1  6  2  1  1  1  4  1  0  0  2  6  1  1  4
 0  1  0  0  1  3  1  6  5  2  1  7  1  6  1  1  6  2  3  1  0  0  2  3  0  4  1  1  3  2  2  1  6  4  1  1  1  3  5  2
 0  0  1  1  1  0  1  0  4  3  7  2  3  1  2  5  1  2  1  2  7  1  6  7  5  7  2  4  1  5  4  1  7  1  5  5  4  4  6  1
 0  0  0  2  6  0  2  4  4  2  2  4  2  4  4  6  0  0  2  0  6  6  2  0  4  4  6  6  0  4  6  0  0  6  2  0  0  6  2  4
 0  0  0  0  4  0  4  0  0  4  0  4  0  4  0  0  0  4  4  0  4  0  0  4  0  4  4  4  0  4  0  0  4  0  4  0  4  4  0  4
 0  0  0  0  0  4  0  4  0  0  0  0  4  4  4  4  4  4  0  0  0  0  0  4  4  4  4  0  0  0  0  4  0  4  4  0  4  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+273x^34+276x^35+757x^36+496x^37+998x^38+796x^39+1111x^40+736x^41+1060x^42+492x^43+589x^44+240x^45+244x^46+36x^47+64x^48+15x^50+6x^52+2x^54

The gray image is a code over GF(2) with n=160, k=13 and d=68.
This code was found by Heurico 1.16 in 36.6 seconds.