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

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+558x^102+1914x^105+2618x^108+3174x^111+3276x^114+3096x^117+2808x^120+1434x^123+630x^126+156x^129+18x^132

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 15.4 seconds.