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

generates a code of length 52 over Z27 who´s minimum homogenous weight is 97.

Homogenous weight enumerator: w(x)=1x^0+144x^97+258x^98+30x^99+522x^100+216x^101+408x^102+1272x^103+1134x^104+718x^105+1230x^106+126x^107+48x^108+90x^109+78x^110+4x^111+60x^112+90x^113+2x^114+66x^115+30x^116+18x^118+12x^119+2x^120+2x^144

The gray image is a code over GF(3) with n=468, k=8 and d=291.
This code was found by Heurico 1.16 in 0.302 seconds.