The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  0  2  2  0  2  4  0  1  1  1  4  0  1  4  1  1  4  0  1
 0  2  0  0  0  2  6  2  0  4  0  2  0  0  2  6  2  2  6  2  4  2  6  2  0  2  2  6  4  6  2  4  4  2  6  4  2  2  0
 0  0  2  0  2  2  6  0  0  0  2  4  0  6  2  0  2  4  4  0  2  2  0  6  2  0  0  6  0  2  6  4  6  2  0  2  2  4  0
 0  0  0  2  2  0  6  2  0  2  2  2  4  4  0  0  6  2  4  6  0  0  4  2  6  6  2  2  2  2  4  2  0  4  6  2  4  4  0
 0  0  0  0  4  0  0  0  0  0  0  0  0  0  0  4  4  4  0  4  4  4  4  0  0  0  0  4  0  4  4  0  4  0  4  4  4  4  4
 0  0  0  0  0  4  0  0  0  0  4  4  4  0  4  4  4  0  0  0  4  0  4  4  0  0  4  4  4  4  0  4  4  4  4  4  4  4  0
 0  0  0  0  0  0  4  0  0  4  4  4  0  0  4  4  4  4  4  0  0  0  4  0  4  4  0  4  0  4  0  0  4  0  0  4  0  4  4
 0  0  0  0  0  0  0  4  0  0  0  0  0  0  0  0  0  0  4  4  4  4  4  4  4  4  0  4  0  4  0  4  4  4  0  0  4  0  4
 0  0  0  0  0  0  0  0  4  0  0  0  0  4  4  4  0  4  4  4  0  4  0  4  0  4  0  4  4  0  0  0  4  0  0  4  0  4  0

generates a code of length 39 over Z8 who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+50x^29+124x^30+162x^31+332x^32+398x^33+719x^34+900x^35+1198x^36+1560x^37+1667x^38+1976x^39+1775x^40+1680x^41+1287x^42+908x^43+680x^44+358x^45+267x^46+134x^47+99x^48+50x^49+25x^50+16x^51+10x^52+5x^54+1x^56+1x^58+1x^62

The gray image is a code over GF(2) with n=156, k=14 and d=58.
This code was found by Heurico 1.16 in 7.85 seconds.