The generator matrix

 1  0  1  1  1  0  1  1  4  1  0  1  1  0  1  1  1  4  1  1  6  1  1  1  6  1  1  6  1  2  1  1  4  1  1  1  1  2  1
 0  1  1  0  1  1  0  7  1  0  1  7  5  1  0  1  0  1  4  1  1  3  1  0  1  6  6  1  1  2  6  5  0  7  1  2  2  2  0
 0  0  2  0  0  0  0  0  0  0  0  0  0  6  6  2  2  6  6  4  6  6  4  2  4  2  2  4  0  4  0  6  4  2  6  0  2  0  0
 0  0  0  2  0  0  0  2  4  0  2  2  0  6  6  4  6  6  4  6  4  2  4  0  6  0  0  0  6  2  6  2  0  2  4  0  6  2  0
 0  0  0  0  2  0  0  0  0  0  4  2  6  0  4  6  2  2  4  2  6  6  2  2  0  4  0  4  4  6  2  2  2  2  0  6  4  6  0
 0  0  0  0  0  2  0  2  4  2  0  2  4  2  2  4  4  4  6  0  2  6  2  0  6  6  4  6  2  0  2  6  4  4  4  4  4  4  0
 0  0  0  0  0  0  2  2  2  6  2  4  2  2  2  6  6  0  6  6  6  0  2  4  4  0  4  2  4  2  2  6  2  6  2  6  6  2  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+118x^29+358x^30+516x^31+866x^32+1238x^33+2264x^34+3258x^35+5014x^36+6860x^37+7770x^38+8712x^39+7796x^40+6814x^41+5107x^42+3498x^43+2304x^44+1248x^45+792x^46+378x^47+281x^48+100x^49+84x^50+20x^51+40x^52+6x^53+8x^54+2x^55+1x^58+2x^60

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 79.8 seconds.