The generator matrix

 1  0  1  1  1  1  1 2X^2+X  1  1  1 2X  1  0  1  1  1  1  1 2X^2+X  1  1  1  X  1  1  1 2X^2+2X  1  1  X  1  1  1  1  1  1  1  1  1  1  1  1  1 2X  1 X^2  1 2X  1  X  1
 0  1  1  2 2X^2+X 2X^2+2X+1 2X^2+X+2  1 X+1 2X+2 2X  1  0  1  1 2X^2+X+2 2X^2+X X+1 X+2  1 2X^2+2 2X^2+X+1 2X^2+2X  1 2X 2X+1 2X^2+2X+2  1 2X^2+2X+1  X  1  2 2X^2+X X+2  0 X^2+X+2 X^2+X  0 2X^2+2 2X^2+1 2X^2+X X+1 2X+2 X^2+1  1 X+1 X^2  0  1 X^2+X X^2 2X^2+2X+1
 0  0 2X  0  0 2X^2 2X^2 2X^2  0 2X^2 X^2  0 2X^2+2X 2X^2+2X  X X^2+2X 2X 2X^2+2X  X 2X X^2+X 2X^2+X X^2+X X^2+X 2X^2+2X  X 2X^2+X  X 2X^2+2X  X X^2+X X^2+2X X^2+2X  X 2X^2+2X X^2+2X 2X^2  0 2X^2+X X^2  X 2X X^2  X X^2 2X  X 2X X^2 X^2+2X X^2+2X 2X^2
 0  0  0 X^2  0 2X^2 X^2  0 X^2  0  0  0  0  0 X^2 2X^2 X^2 2X^2 X^2 X^2 2X^2 2X^2  0 2X^2 X^2  0 X^2  0 2X^2 2X^2 X^2 X^2 2X^2  0  0  0 2X^2 2X^2 2X^2 X^2 X^2 X^2  0 2X^2 X^2  0  0 2X^2 X^2 2X^2 X^2 X^2
 0  0  0  0 2X^2 X^2 2X^2 X^2 2X^2 2X^2 X^2 2X^2 X^2 2X^2 X^2  0  0 2X^2 2X^2 2X^2 X^2 X^2 2X^2 2X^2 X^2 2X^2  0 2X^2  0  0 X^2 2X^2 2X^2  0  0 2X^2  0 2X^2 2X^2  0  0 2X^2  0 2X^2 2X^2 2X^2 2X^2 X^2  0  0 X^2  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+204x^94+444x^95+406x^96+1278x^97+1986x^98+1846x^99+2616x^100+4776x^101+4730x^102+6330x^103+8076x^104+6238x^105+5670x^106+6378x^107+3194x^108+2388x^109+1374x^110+268x^111+294x^112+228x^113+28x^114+108x^115+60x^116+36x^117+54x^118+6x^119+4x^120+12x^121+6x^123+8x^126+2x^129

The gray image is a linear code over GF(3) with n=468, k=10 and d=282.
This code was found by Heurico 1.16 in 54.1 seconds.