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

generates a code of length 60 over Z27 who´s minimum homogenous weight is 110.

Homogenous weight enumerator: w(x)=1x^0+240x^110+200x^111+18x^112+828x^113+534x^114+468x^115+1176x^116+1192x^117+1728x^118+1782x^119+2736x^120+2844x^121+1758x^122+1314x^123+774x^124+798x^125+302x^126+354x^128+198x^129+234x^131+60x^132+96x^134+6x^135+18x^137+16x^138+6x^140+2x^153

The gray image is a code over GF(3) with n=540, k=9 and d=330.
This code was found by Heurico 1.16 in 1.82 seconds.