The generator matrix

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

generates a code of length 51 over Z3[X]/(X^2) who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+120x^85+276x^86+704x^87+900x^88+1062x^89+2336x^90+2340x^91+2832x^92+4702x^93+4170x^94+4884x^95+8162x^96+6798x^97+7746x^98+11726x^99+9168x^100+10572x^101+14560x^102+10500x^103+10266x^104+13900x^105+9150x^106+8214x^107+9638x^108+5958x^109+4578x^110+4472x^111+2418x^112+1638x^113+1520x^114+810x^115+366x^116+352x^117+138x^118+54x^119+76x^120+18x^121+14x^123+4x^126+4x^129

The gray image is a linear code over GF(3) with n=153, k=11 and d=85.
This code was found by Heurico 1.16 in 364 seconds.