The generator matrix

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

generates a code of length 39 over Z8 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+246x^28+322x^30+16x^31+1071x^32+192x^33+1770x^34+832x^35+3836x^36+1856x^37+4824x^38+2400x^39+5393x^40+1856x^41+3556x^42+832x^43+2240x^44+192x^45+706x^46+16x^47+435x^48+82x^50+76x^52+4x^54+11x^56+2x^60+1x^64

The gray image is a code over GF(2) with n=156, k=15 and d=56.
This code was found by Heurico 1.16 in 53.7 seconds.