The generator matrix

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

generates a code of length 57 over Z3[X]/(X^2) who´s minimum homogenous weight is 105.

Homogenous weight enumerator: w(x)=1x^0+94x^105+436x^108+518x^111+308x^114+286x^117+340x^120+134x^123+48x^126+4x^129+4x^132+10x^135+2x^138+2x^144

The gray image is a linear code over GF(3) with n=171, k=7 and d=105.
This code was found by Heurico 1.16 in 0.0877 seconds.