The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  0  1  1  2  0  1  1  0  1  1  1  2  2  0  1  1  1  2  1  2  1  2  1  2  2  1
 0  2  0  6  0  6  0  6  0  6  0  6  6  2  6  0  6  2  6  0  2  6  0  0  6  6  2  6  0  2  6  4  6  4  0  4  0  0  6
 0  0  4  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  0  4  4  0  4  4  4
 0  0  0  4  0  0  0  0  0  0  0  0  0  0  4  0  4  0  4  0  0  4  4  4  0  4  4  0  4  0  4  0  0  4  4  4  0  4  4
 0  0  0  0  4  0  0  0  0  0  0  0  0  0  0  4  4  4  4  4  4  4  4  0  4  0  4  4  0  0  4  0  4  0  4  0  0  0  4
 0  0  0  0  0  4  0  0  0  0  0  0  4  4  0  0  4  4  0  0  4  4  4  4  4  4  0  0  0  4  0  4  0  4  4  4  4  0  4
 0  0  0  0  0  0  4  0  0  0  0  0  4  4  0  0  4  0  4  4  0  4  0  0  0  4  0  0  0  4  4  0  4  4  4  0  4  4  4
 0  0  0  0  0  0  0  4  0  0  0  4  0  4  4  0  0  4  0  4  0  4  4  0  4  0  4  4  4  4  0  0  0  0  0  0  0  0  4
 0  0  0  0  0  0  0  0  4  0  0  0  0  4  4  4  0  4  4  0  0  0  4  4  0  0  4  4  4  0  0  4  4  0  0  0  4  4  4
 0  0  0  0  0  0  0  0  0  4  0  4  4  0  0  4  0  4  0  4  0  0  4  4  0  4  0  4  0  0  4  0  0  0  4  4  0  0  4
 0  0  0  0  0  0  0  0  0  0  4  0  4  0  4  4  0  0  4  4  4  0  4  0  4  4  0  0  0  4  0  0  4  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+161x^28+96x^30+615x^32+64x^33+560x^34+640x^35+1343x^36+1984x^37+1184x^38+2816x^39+1653x^40+1984x^41+960x^42+640x^43+975x^44+64x^45+256x^46+316x^48+16x^50+49x^52+6x^56+1x^72

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 8.28 seconds.