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

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+162x^94+288x^95+148x^96+462x^97+654x^98+398x^99+984x^100+1068x^101+2494x^102+1518x^103+1728x^104+4176x^105+1704x^106+1362x^107+664x^108+564x^109+438x^110+68x^111+282x^112+210x^113+26x^114+120x^115+54x^116+26x^117+36x^118+24x^119+8x^120+6x^122+4x^123+4x^129+2x^132

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 4.31 seconds.