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

generates a code of length 51 over Z27 who´s minimum homogenous weight is 93.

Homogenous weight enumerator: w(x)=1x^0+78x^93+54x^94+246x^96+114x^97+216x^98+258x^99+1080x^100+864x^101+198x^102+1998x^103+864x^104+134x^105+66x^106+142x^108+30x^109+80x^111+36x^112+52x^114+18x^115+22x^117+6x^118+2x^120+2x^147

The gray image is a code over GF(3) with n=459, k=8 and d=279.
This code was found by Heurico 1.16 in 0.242 seconds.