The generator matrix

 1  0  0  0  1  1  1 2X^2  1  1  1  1  1 X^2+2X 2X  1  1  1  X  1  1 X^2  1 2X^2+2X  1  1  1  1  1 2X^2+X  0  1  1  1  1  X X^2  1  1 2X^2+2X  1  1  1  1  1 2X^2+X  0  1 X^2+2X X^2+X  1  1
 0  1  0  0 2X^2  1 X^2+1  1  X X^2+X 2X^2+2X+2 X^2+2 2X^2+2X X^2+X  1 2X^2+2X+1 2X^2+X+1 2X^2+2X+1  1 X^2+2X+2 2X^2+X+2  1 2X+1  1 2X^2+2 2X+1 X+1 2X X^2+2X+2  1  1 X^2+X+2 X^2+X+2 2X^2+X+1  0 X^2  1 2X^2+2 2X  1  X  0 2X^2 2X 2X^2+2  1  1 X+1  X  0  X 2X^2
 0  0  1  0 2X^2+2X+1 2X+1 2X^2+X+2 2X^2+2X+1 X+1 X+2 2X^2 2X^2+X+1 X^2+X  1 X^2+2 2X^2 2X^2+X 2X^2+2X+1 2X^2+2 2X^2+X+1 X^2+2  X X^2+2X X^2 X^2+X X^2+2 2X^2+2 2X^2+2X+2  X X+1 X+2 2X^2+2X+2 2X^2+1 X+2 X^2+2X+2  1 2X^2+2X  0  1 2X^2+2X  2 2X^2+X+1 X^2+X 2X+1 X^2+2X+2 X^2+X+2 X^2+X+1 X^2+1 2X^2+X X^2 X^2+2X X^2
 0  0  0  1 2X^2+2X+2 X^2 X^2+2X+2 X^2+2X+2  1 X^2+X 2X^2+1 2X^2+2X  2 X+1 2X^2+1 X+1 2X^2 2X^2+2  X X^2+2X+1  0 X^2+X+1 2X+2  2 X^2+X+2 2X X+1 2X^2+2X+1 X^2+2X X+1 X+2 2X+2 X^2+2 2X^2+X+2  2 X+2 2X^2 X^2+1 X^2+X+1 X^2+1 2X^2+2  X 2X+1 X^2+1 2X 2X^2 X^2+2 2X+1  1  1 2X^2+X  0

generates a code of length 52 over Z3[X]/(X^3) who´s minimum homogenous weight is 93.

Homogenous weight enumerator: w(x)=1x^0+330x^93+1116x^94+3084x^95+6170x^96+9120x^97+14322x^98+21432x^99+26934x^100+36720x^101+48378x^102+53820x^103+60402x^104+65152x^105+58656x^106+47454x^107+36862x^108+20106x^109+11844x^110+5702x^111+2202x^112+1080x^113+300x^114+66x^115+36x^116+88x^117+12x^118+18x^119+22x^120+12x^121

The gray image is a linear code over GF(3) with n=468, k=12 and d=279.
This code was found by Heurico 1.16 in 400 seconds.