The generator matrix

 1  0  1  1  1  0  1  1  4  1  6  1  4  1  1  1  1  1  1  2  1  4  1  1  6  4  6  1  0  6  2  1  1  1  0  1  0  1  4  1
 0  1  1  0  1  1  0  3  1  0  1  3  1  7  4  2  1  3  0  1  7  1  6  0  1  1  1  5  1  1  0  0  3  5  2  7  1  5  2  0
 0  0  2  0  0  0  0  0  2  2  0  2  6  4  6  6  0  6  0  4  2  2  2  2  6  0  4  2  2  0  2  2  4  6  6  4  6  4  0  2
 0  0  0  2  0  0  0  0  2  2  2  4  4  6  2  6  6  0  4  0  6  0  0  4  2  6  4  2  4  6  4  4  4  0  6  2  6  2  2  2
 0  0  0  0  2  0  0  2  0  0  0  6  0  2  6  0  4  0  2  2  4  6  4  6  2  2  2  4  0  4  6  2  0  6  4  6  2  6  2  4
 0  0  0  0  0  2  6  2  2  4  2  4  0  6  4  2  4  2  6  4  6  6  6  4  2  2  6  0  2  0  0  6  0  2  2  0  4  0  2  0
 0  0  0  0  0  0  4  0  0  4  4  4  4  4  0  4  0  0  0  4  4  4  4  0  0  4  0  0  0  0  4  0  0  4  0  0  0  0  4  0
 0  0  0  0  0  0  0  4  0  0  0  4  0  4  0  4  4  4  4  0  0  0  4  4  0  0  4  0  4  0  4  0  4  4  4  0  4  4  0  0

generates a code of length 40 over Z8 who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+54x^29+144x^30+292x^31+478x^32+864x^33+1284x^34+2126x^35+3400x^36+5028x^37+6860x^38+7970x^39+8320x^40+7970x^41+6976x^42+5170x^43+3506x^44+2224x^45+1262x^46+750x^47+381x^48+230x^49+98x^50+72x^51+38x^52+14x^53+14x^54+4x^55+4x^56+2x^58

The gray image is a code over GF(2) with n=160, k=16 and d=58.
This code was found by Heurico 1.16 in 81.9 seconds.