The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+99x^28+114x^29+270x^30+352x^31+561x^32+622x^33+734x^34+1262x^35+1912x^36+3398x^37+4435x^38+4878x^39+4950x^40+3344x^41+1754x^42+1392x^43+801x^44+610x^45+514x^46+288x^47+232x^48+98x^49+93x^50+18x^51+20x^52+6x^53+5x^54+2x^55+2x^58+1x^66

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 28.5 seconds.