The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  0  1  1  1  1  1 21  1 24  1  1  1 24  1  1  1  0  1 21  1  1 24  1  1  1  1  1 21  1  1  0  1  1  1  1  1 24  6  1  1  1 21 12 24  1  1  0  1
 0  1  7 26 21  4 20  1 24 19 23  1  1  0 16 26 20  4  1 21  1 23 24 19  1  4  0 26  1 16  1  0 19  1 21 21 16 20  4  1 24 21  1  9  4 23 13 12  1  1 13 26 20  1  1  1 19 19  1  0
 0  0  9  0  0  0 18 18  9  9  9  0  9  0  9  0  9  9 18 18  9  9  0  9  0 18  0  0  0  0 18  9 18  0  0  9 18  0  0  9 18 18 18  9  9 18 18  0  9  0  0  9  9  9  9  0 18 18 18  9
 0  0  0  9  0  0 18 18 18  0  9  9 18  9 18  0 18  9 18  0 18  0 18 18  0  0 18  0 18 18 18  9  0  9 18 18 18  9 18  0  9 18  0  9  9  9  0  0  0 18  9 18  9 18  0 18  9  0  0  0
 0  0  0  0 18  0 18  9  9 18 18  9  0  0  0 18  0  0  9  9  9 18 18  9 18  0  9  9  0 18 18 18  0  0 18  9 18  0  0  0  9  9  0  9  9  9  9 18  0  9 18  9  9  0 18 18 18  9 18  9
 0  0  0  0  0  9 18  0 18 18 18 18 18 18  9  9 18  0 18  9 18  0  0  0  9  9  9  9  9 18 18  0  0  9  9  9  0  9  9  0  0  9  9  0 18  9  0 18 18  0 18  9  0  0  0  0  9  9  0  0

generates a code of length 60 over Z27 who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+148x^108+96x^109+78x^110+658x^111+810x^112+540x^113+1864x^114+2406x^115+1650x^116+5240x^117+6408x^118+3204x^119+8952x^120+8202x^121+3216x^122+6602x^123+4650x^124+1428x^125+1622x^126+678x^127+66x^128+236x^129+60x^130+24x^131+92x^132+18x^133+30x^135+28x^138+22x^141+6x^144+8x^147+6x^150

The gray image is a code over GF(3) with n=540, k=10 and d=324.
This code was found by Heurico 1.16 in 14.6 seconds.