The generator matrix

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

generates a code of length 40 over Z8 who´s minimum homogenous weight is 31.

Homogenous weight enumerator: w(x)=1x^0+108x^31+348x^32+828x^33+1528x^34+2350x^35+3682x^36+5198x^37+6643x^38+7972x^39+8256x^40+7754x^41+6837x^42+5260x^43+3749x^44+2450x^45+1313x^46+680x^47+342x^48+154x^49+62x^50+14x^51+5x^52+1x^56+1x^66

The gray image is a code over GF(2) with n=160, k=16 and d=62.
This code was found by Heurico 1.16 in 64.9 seconds.