The generator matrix

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

generates a code of length 52 over Z3[X]/(X^2) who´s minimum homogenous weight is 94.

Homogenous weight enumerator: w(x)=1x^0+138x^94+120x^95+262x^96+450x^97+270x^98+388x^99+534x^100+258x^101+462x^102+510x^103+246x^104+348x^105+438x^106+252x^107+330x^108+396x^109+138x^110+252x^111+264x^112+96x^113+108x^114+138x^115+54x^116+22x^117+42x^118+18x^119+6x^120+6x^121+6x^122+2x^123+6x^126

The gray image is a linear code over GF(3) with n=156, k=8 and d=94.
This code was found by Heurico 1.16 in 0.469 seconds.