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

generates a code of length 55 over Z27 who´s minimum homogenous weight is 97.

Homogenous weight enumerator: w(x)=1x^0+96x^97+138x^99+324x^100+132x^102+450x^103+324x^104+254x^105+1128x^106+1944x^107+572x^108+2646x^109+3888x^110+482x^111+2754x^112+2592x^113+304x^114+768x^115+174x^117+378x^118+22x^120+144x^121+28x^123+60x^124+40x^126+10x^129+8x^132+16x^135+2x^138+4x^144

The gray image is a code over GF(3) with n=495, k=9 and d=291.
This code was found by Heurico 1.16 in 42.3 seconds.