The generator matrix

 1  0  1  1  1  6  1  1  0  1  1  6  1  1  0  1  1  6  0  6  1  1  1  1  0  1  1  1  1  6  1  1  0  1  2  6  1  0  2
 0  1  3  6  1  1  0  3  1  6  1  1  0  3  1  6  5  1  1  1  0  6  3  5  1  0  3  5  6  1  3  3  1  5  6  1  0  1  0
 0  0  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  4  4  4  4  4  4  4  4  4  4  4  0  4  4
 0  0  0  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  4  4  4  4  4  4  4  4  0  0  0  0  4  4  0  4  4  0  4
 0  0  0  0  4  0  0  0  0  0  0  0  0  0  4  4  0  0  4  4  4  4  4  0  0  0  4  4  0  4  0  0  0  0  4  4  4  0  0
 0  0  0  0  0  4  0  0  0  0  0  0  0  0  0  0  4  4  4  4  0  0  4  0  4  0  0  4  0  4  4  4  0  4  4  0  0  4  0
 0  0  0  0  0  0  4  0  0  0  0  0  4  4  4  4  4  4  0  4  0  4  4  0  0  4  0  0  4  0  4  4  0  0  4  4  0  0  0
 0  0  0  0  0  0  0  4  0  0  0  4  0  4  4  0  0  4  0  4  4  0  4  0  4  4  0  0  0  4  4  0  0  4  4  4  4  0  0
 0  0  0  0  0  0  0  0  4  0  0  4  0  4  4  4  0  0  0  0  0  0  4  4  4  0  4  4  0  4  0  4  0  4  0  4  0  0  0
 0  0  0  0  0  0  0  0  0  4  0  4  4  4  0  4  4  0  4  4  4  0  0  0  4  4  4  0  0  0  4  4  4  4  0  0  4  4  0
 0  0  0  0  0  0  0  0  0  0  4  4  0  0  0  4  4  4  4  0  0  4  4  4  4  4  0  0  0  0  0  4  0  0  4  4  4  0  4

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

Homogenous weight enumerator: w(x)=1x^0+166x^28+92x^30+16x^31+668x^32+256x^33+1244x^34+1216x^35+3374x^36+2816x^37+4536x^38+3680x^39+5056x^40+2816x^41+2968x^42+1216x^43+1658x^44+256x^45+364x^46+16x^47+287x^48+12x^50+50x^52+3x^56+1x^72

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 96.2 seconds.