The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+80x^28+106x^29+326x^30+348x^31+434x^32+620x^33+992x^34+1102x^35+2042x^36+3332x^37+4343x^38+5288x^39+4226x^40+3440x^41+2171x^42+1132x^43+892x^44+602x^45+532x^46+300x^47+243x^48+84x^49+75x^50+22x^51+18x^52+8x^53+7x^54+1x^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 29 seconds.