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

generates a code of length 52 over Z3[X]/(X^3) who´s minimum homogenous weight is 94.

Homogenous weight enumerator: w(x)=1x^0+96x^94+102x^95+316x^96+522x^97+534x^98+458x^99+1056x^100+1152x^101+1430x^102+2364x^103+3522x^104+1970x^105+2406x^106+1584x^107+490x^108+378x^109+282x^110+256x^111+294x^112+84x^113+124x^114+114x^115+24x^116+48x^117+42x^118+6x^119+6x^120+18x^121+2x^123+2x^135

The gray image is a linear code over GF(3) with n=468, k=9 and d=282.
This code was found by Heurico 1.16 in 1.53 seconds.