The generator matrix

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

generates a code of length 57 over Z3[X]/(X^2) who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+540x^108+552x^111+342x^114+310x^117+168x^120+138x^123+90x^126+36x^129+6x^132+2x^135+2x^144

The gray image is a linear code over GF(3) with n=171, k=7 and d=108.
This code was found by Heurico 1.16 in 89.4 seconds.