The generator matrix

 1  0  1  1  1  1 21  1  1 24  1  1  1  0  1  1 18  1  3 15  1  1  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  1  1  1 18  1 21  1  1  1 18  1 24  1  1 12  1  1 24  3  0  1
 0  1  1 26 21 20  1 24 23  1 16  4  0  1 24 25  1  2  1  1 17 22 21  1 14 16 20  0 14  4  1 11 12 16 12 23 18 21 11 17  1 21  1 24  4 25  1 19  1 11  6  1 24  6  1  1  1 21
 0  0 24  0 18 18 18  0 18 18 15 24  6 24  6 21  3  3 12 12 12 21 15  3 12 18 15  0  3  0 15  9 21  0 15 24 21  9  3  6  3  9  9 12 15 12 24  9 24 24  6  9  0 15  9 15 18  6
 0  0  0  9  9  0 18 18 18  9 18  9 18  9  0 18  9 18  0 18  0  9  9  0  9  9 18  9 18 18  0  9  9  0  0  9 18  0  9  9 18 18  0 18 18  9  0 18 18  0 18  9  0 18  9 18  0  0

generates a code of length 58 over Z27 who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+156x^108+180x^109+690x^110+1464x^111+972x^112+1146x^113+2376x^114+1206x^115+2016x^116+3410x^117+1350x^118+1524x^119+1682x^120+606x^121+402x^122+258x^123+18x^124+30x^125+92x^126+36x^127+18x^128+20x^129+6x^130+12x^132+6x^134+4x^135+2x^138

The gray image is a code over GF(3) with n=522, k=9 and d=324.
This code was found by Heurico 1.16 in 1.04 seconds.