The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+132x^34+8x^35+185x^36+72x^37+316x^38+176x^39+338x^40+176x^41+266x^42+72x^43+144x^44+8x^45+106x^46+28x^48+10x^50+7x^52+2x^54+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 0.273 seconds.