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

generates a code of length 54 over Z27 who´s minimum homogenous weight is 99.

Homogenous weight enumerator: w(x)=1x^0+80x^99+90x^101+300x^102+72x^103+126x^104+580x^105+594x^106+84x^107+2272x^108+1188x^109+36x^110+628x^111+90x^112+60x^113+88x^114+60x^116+120x^117+18x^119+44x^120+12x^122+12x^123+2x^126+2x^132+2x^150

The gray image is a code over GF(3) with n=486, k=8 and d=297.
This code was found by Heurico 1.16 in 0.266 seconds.