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

generates a code of length 60 over Z27 who´s minimum homogenous weight is 111.

Homogenous weight enumerator: w(x)=1x^0+80x^111+54x^112+268x^114+126x^115+216x^116+234x^117+96x^118+864x^119+3116x^120+60x^121+864x^122+150x^123+60x^124+114x^126+12x^127+76x^129+48x^130+48x^132+30x^133+38x^135+2x^138+2x^141+2x^174

The gray image is a code over GF(3) with n=540, k=8 and d=333.
This code was found by Heurico 1.16 in 0.322 seconds.