The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+113x^34+16x^35+189x^36+144x^37+176x^38+352x^39+131x^40+352x^41+160x^42+144x^43+115x^44+16x^45+76x^46+35x^48+19x^50+8x^52+1x^64

The gray image is a code over GF(2) with n=160, k=11 and d=68.
This code was found by Heurico 1.16 in 0.172 seconds.