The generator matrix

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

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+72x^92+126x^93+342x^95+272x^96+528x^98+308x^99+726x^101+350x^102+894x^104+416x^105+900x^107+324x^108+594x^110+186x^111+276x^113+96x^114+30x^116+30x^117+12x^119+30x^120+22x^123+10x^126+10x^129+4x^132+2x^135

The gray image is a linear code over GF(3) with n=156, k=8 and d=92.
This code was found by Heurico 1.16 in 62.9 seconds.