The generator matrix

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

generates a code of length 39 over Z8 who´s minimum homogenous weight is 31.

Homogenous weight enumerator: w(x)=1x^0+306x^31+818x^32+1570x^33+2593x^34+3696x^35+5260x^36+6380x^37+7416x^38+8452x^39+8080x^40+7024x^41+5541x^42+3760x^43+2268x^44+1236x^45+653x^46+282x^47+113x^48+46x^49+18x^50+16x^51+4x^52+3x^54

The gray image is a code over GF(2) with n=156, k=16 and d=62.
This code was found by Heurico 1.11 in 61.7 seconds.