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

generates a code of length 53 over Z27 who´s minimum homogenous weight is 93.

Homogenous weight enumerator: w(x)=1x^0+78x^93+84x^95+256x^96+36x^97+126x^98+488x^99+252x^100+198x^101+958x^102+1332x^103+1704x^104+2536x^105+2394x^106+3204x^107+2640x^108+1692x^109+270x^110+570x^111+126x^112+156x^113+288x^114+72x^116+98x^117+18x^119+36x^120+28x^123+18x^126+14x^129+4x^132+4x^135+2x^141

The gray image is a code over GF(3) with n=477, k=9 and d=279.
This code was found by Heurico 1.16 in 1.83 seconds.