The generator matrix

 1  0  0  0  1  1  1 18  1  1  1  1 24 18  1  1  1  1  1  1  9 24  1  1 15  6  6  1  3  1  1  1  1  1  1  1  1  1 15  9  0  1  1  1  1  0  1  6  6  1  1  1  1  1
 0  1  0  0 18  1 19  1 18  0  5 14  1  1  3 17  8 16  4 21  1 24 13 23 12  1  1 21  1 25 26 17  1 11 16 24  2 19  1  1  6 24 23 24 23  9 16  1  0 10 14 21 26 18
 0  0  1  0 16 25 14  7  4 23 21 13 24  5  6 26  9  6  4 17  2  1  2 17  1 16 13 12 15 14 16 10 24 23 21  1 20 19  0 17  1  8 18 10  0  1  1  1  1 11  7  1 12  0
 0  0  0  1 14  9  5  5 22 24 13  6 13 20  4  3 11 17  1  2 24 11 16 10 19  6 19 17  2 12  2 19 12 11  1  9 10 26 12 22 15 22  3  6 25 23 11 18 25 15 24  8 12  9

generates a code of length 54 over Z27 who´s minimum homogenous weight is 97.

Homogenous weight enumerator: w(x)=1x^0+318x^97+1470x^98+3548x^99+6144x^100+10152x^101+14626x^102+20640x^103+27390x^104+37324x^105+45516x^106+54900x^107+62978x^108+61128x^109+57006x^110+47288x^111+34704x^112+22734x^113+13064x^114+6168x^115+2676x^116+1126x^117+246x^118+54x^119+78x^120+78x^121+24x^122+30x^123+18x^124+12x^125

The gray image is a code over GF(3) with n=486, k=12 and d=291.
This code was found by Heurico 1.16 in 418 seconds.