The generator matrix

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

generates a code of length 53 over Z3[X]/(X^2) who´s minimum homogenous weight is 94.

Homogenous weight enumerator: w(x)=1x^0+252x^94+450x^95+212x^96+798x^97+876x^98+220x^99+1128x^100+1236x^101+318x^102+1404x^103+1506x^104+446x^105+1470x^106+1650x^107+348x^108+1542x^109+1398x^110+292x^111+1224x^112+984x^113+236x^114+696x^115+498x^116+82x^117+192x^118+120x^119+16x^120+36x^121+30x^122+6x^123+6x^124+6x^126+4x^129

The gray image is a linear code over GF(3) with n=159, k=9 and d=94.
This code was found by Heurico 1.16 in 24.3 seconds.