The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+41x^34+141x^36+190x^38+300x^40+178x^42+126x^44+32x^46+2x^48+5x^50+5x^52+2x^54+1x^64

The gray image is a code over GF(2) with n=160, k=10 and d=68.
This code was found by Heurico 1.16 in 0.0726 seconds.