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

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

Homogenous weight enumerator: w(x)=1x^0+282x^110+244x^111+18x^112+690x^113+494x^114+144x^115+1650x^116+1016x^117+918x^118+3852x^119+1626x^120+1548x^121+3756x^122+1152x^123+288x^124+744x^125+266x^126+378x^128+188x^129+180x^131+82x^132+126x^134+20x^135+6x^137+10x^138+2x^144+2x^156

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 2.34 seconds.