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

generates a code of length 59 over Z27 who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+164x^108+84x^109+210x^110+726x^111+300x^112+522x^113+1112x^114+756x^115+2088x^116+2494x^117+2160x^118+3606x^119+2424x^120+804x^121+612x^122+440x^123+102x^124+96x^125+334x^126+96x^127+108x^128+210x^129+48x^130+36x^131+84x^132+24x^133+12x^134+22x^135+6x^138+2x^159

The gray image is a code over GF(3) with n=531, k=9 and d=324.
This code was found by Heurico 1.16 in 1.76 seconds.