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

generates a code of length 52 over Z3[X]/(X^2) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+264x^92+294x^93+378x^94+678x^95+770x^96+498x^97+1104x^98+918x^99+672x^100+1512x^101+1000x^102+762x^103+1626x^104+1296x^105+822x^106+1464x^107+1062x^108+582x^109+1212x^110+720x^111+420x^112+648x^113+376x^114+192x^115+222x^116+98x^117+42x^118+18x^119+16x^120+6x^121+6x^123+4x^129

The gray image is a linear code over GF(3) with n=156, k=9 and d=92.
This code was found by Heurico 1.16 in 4.57 seconds.