The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+37x^28+42x^29+142x^30+126x^31+300x^32+522x^33+595x^34+794x^35+1223x^36+1704x^37+1816x^38+1724x^39+1774x^40+1828x^41+1235x^42+836x^43+627x^44+458x^45+262x^46+102x^47+114x^48+50x^49+41x^50+2x^51+17x^52+4x^53+4x^54+2x^56+1x^58+1x^64

The gray image is a code over GF(2) with n=156, k=14 and d=56.
This code was found by Heurico 1.16 in 7.45 seconds.