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

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

Homogenous weight enumerator: w(x)=1x^0+528x^93+36x^94+1074x^96+288x^97+486x^98+1338x^99+2808x^100+1944x^101+1080x^102+5040x^103+1944x^104+1074x^105+576x^106+678x^108+534x^111+210x^114+42x^117+2x^135

The gray image is a code over GF(3) with n=459, k=9 and d=279.
This code was found by Heurico 1.16 in 39.1 seconds.