The generator matrix

 1  0  0  1  1  1  2  0  1  1  4  1  1  2  1  4  1  1  6  1  4  1  1  4  1  1  1  1  4  1  1  0  1  4  1  4  0  1  1
 0  1  0  1  2  3  1  1  0  2  0  5  7  1  0  2  1  6  1  3  1  4  3  1  3  3  6  4  1  5  2  2  5  4  1  1  1  4  0
 0  0  1  1  1  0  3  2  2  3  1  3  2  1  3  1  1  0  1  2  2  0  0  1  1  3  6  7  5  0  4  1  6  1  3  0  2  0  0
 0  0  0  2  0  6  2  2  2  2  6  0  0  4  0  0  4  4  2  2  0  6  0  0  6  0  6  2  4  0  6  6  4  0  6  2  6  2  0
 0  0  0  0  4  0  0  0  0  0  0  0  0  4  4  4  4  4  4  4  0  0  4  4  0  0  0  4  4  4  0  4  4  4  0  4  4  0  0
 0  0  0  0  0  4  0  0  0  4  4  0  0  0  4  0  4  4  4  4  4  4  0  4  0  4  0  4  0  0  0  4  4  0  0  4  0  0  0
 0  0  0  0  0  0  4  0  0  0  4  0  4  0  0  4  0  4  4  0  4  0  0  4  4  4  0  0  4  4  0  4  4  4  4  4  4  0  0
 0  0  0  0  0  0  0  4  0  0  0  4  4  4  4  4  4  4  0  4  4  4  4  0  0  4  4  0  0  4  0  0  4  4  4  4  4  0  0
 0  0  0  0  0  0  0  0  4  4  4  4  4  4  0  0  4  0  4  4  0  0  0  0  4  4  4  0  0  4  0  4  4  4  0  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+30x^28+86x^29+163x^30+410x^31+687x^32+1480x^33+2298x^34+3482x^35+5299x^36+6708x^37+7962x^38+8288x^39+7824x^40+6884x^41+5316x^42+3600x^43+2372x^44+1362x^45+599x^46+342x^47+148x^48+116x^49+42x^50+6x^51+19x^52+4x^53+4x^54+4x^56

The gray image is a code over GF(2) with n=156, k=16 and d=56.
This code was found by Heurico 1.16 in 61 seconds.