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  1  1 21  1  1  1  1 21  1  1 24  1 12 24  1  1 15  1  1  1  1 12  1 18  1  0  1  1  1  3
 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 18  4 20 23  3  1  5  1  9  2  1 16 10  1 21  1  1 15  3  1 24 17 24 12  1  5  1 18 18 26 15 15 18
 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 21  0  9  3 21  0 15  6  0  3  6 21  9 15 18 12 18 12  6 24 24 15  3  9 21 18  3 18  3  6 12  6 12
 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 18 18  9 18  9  9  9 18  9  9 18  9 18  9 18  9 18  9  0 18  9  9 18  0 18  0  0 18  9  0  0  9 18

generates a code of length 60 over Z27 who´s minimum homogenous weight is 112.

Homogenous weight enumerator: w(x)=1x^0+276x^112+372x^113+602x^114+942x^115+1488x^116+1346x^117+1812x^118+1896x^119+2076x^120+2058x^121+1944x^122+1600x^123+1320x^124+894x^125+394x^126+306x^127+126x^128+40x^129+42x^130+42x^131+4x^132+42x^133+30x^134+8x^135+6x^136+12x^137+2x^138+2x^141

The gray image is a code over GF(3) with n=540, k=9 and d=336.
This code was found by Heurico 1.16 in 1.06 seconds.