The generator matrix

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

generates a code of length 57 over Z3[X]/(X^2) who´s minimum homogenous weight is 102.

Homogenous weight enumerator: w(x)=1x^0+582x^102+1780x^105+2730x^108+3256x^111+3180x^114+3214x^117+2628x^120+1508x^123+616x^126+174x^129+10x^132+2x^138+2x^141

The gray image is a linear code over GF(3) with n=171, k=9 and d=102.
This code was found by Heurico 1.16 in 14.7 seconds.