The generator matrix

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

generates a code of length 64 over Z3[X]/(X^2) who´s minimum homogenous weight is 111.

Homogenous weight enumerator: w(x)=1x^0+102x^111+402x^114+976x^117+1766x^120+2390x^123+3144x^126+3954x^129+3336x^132+2134x^135+846x^138+360x^141+124x^144+68x^147+46x^150+20x^153+10x^156+4x^165

The gray image is a linear code over GF(3) with n=192, k=9 and d=111.
This code was found by Heurico 1.16 in 6.88 seconds.