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

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

Homogenous weight enumerator: w(x)=1x^0+174x^108+54x^109+24x^110+384x^111+192x^112+120x^113+802x^114+168x^115+732x^116+2476x^117+240x^118+2304x^119+4452x^120+288x^121+2364x^122+3164x^123+246x^124+240x^125+450x^126+192x^127+48x^128+304x^129+60x^130+96x^132+18x^133+32x^135+16x^138+20x^141+8x^144+4x^147+4x^150+6x^156

The gray image is a code over GF(3) with n=540, k=9 and d=324.
This code was found by Heurico 1.16 in 2.77 seconds.