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

generates a code of length 35 over Z8 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+115x^20+57x^22+406x^24+210x^26+686x^28+490x^30+1095x^32+4096x^33+1039x^34+16384x^35+1036x^36+4096x^37+1092x^38+490x^40+686x^42+210x^44+406x^46+56x^48+112x^50+1x^52+3x^54+1x^66

The gray image is a code over GF(2) with n=140, k=15 and d=40.
This code was found by Heurico 1.16 in 19.2 seconds.