The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+310x^31+851x^32+1436x^33+2769x^34+3384x^35+5492x^36+6216x^37+8188x^38+7596x^39+8408x^40+6876x^41+5774x^42+3492x^43+2492x^44+1072x^45+652x^46+246x^47+164x^48+80x^49+25x^50+12x^51

The gray image is a code over GF(2) with n=156, k=16 and d=62.
This code was found by Heurico 1.16 in 88.1 seconds.