The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  3  1  3  1  0  1  1  1  1  1  3  3  0  3 18  3  1  0  3
 0  3  0  0 24 21  3 15 24  9 18 21 21 24  6 18 24 21 24 18  3 15  0 18 12 12 24  3 18  6 21  6  6 12 12 24  6  0  0 18 12  6  9 15  0  0  9 21 21 12  6 15 21  3 15  6 15 21  6 15  3  9  3 18 18  0  3  9 15  9  6 18 21 15 18 12  3  6 24  3 18
 0  0  3 24  9  6  3 21 15 15  0 15  3 18 12 12 24  9  9  9  0 12  6  3 12 15 24 12  0 12  0  9  6  6  3 18 21 24 12 24  9 18  3 12  9 18  3 18 24  6 24  6  3 18 24  0  0  6  6  6  6 24  3 15 24 18  6 18 18 18 18  9 24 21  3 21  3 12 15 24 21
 0  0  0  9  0  0  0  0  0  0 18 18  9  9 18  9 18  9 18  9 18  9 18 18 18  9  9 18  9  9  9  9 18  9  9 18  0  0  9 18 18  0  0 18 18  0 18  0  0 18  0  9  0  9  0  0 18  9  9 18  0  9  0 18  9 18  9  9 18 18  9  0  9  9  0 18  9 18  9 18  9

generates a code of length 81 over Z27 who´s minimum homogenous weight is 155.

Homogenous weight enumerator: w(x)=1x^0+348x^155+300x^156+198x^157+600x^158+494x^159+378x^160+708x^161+658x^162+594x^163+792x^164+518x^165+288x^166+240x^167+118x^168+84x^170+30x^171+60x^173+64x^174+24x^176+36x^179+24x^182+2x^189+2x^207

The gray image is a code over GF(3) with n=729, k=8 and d=465.
This code was found by Heurico 1.16 in 10.9 seconds.