The generator matrix

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

generates a code of length 63 over Z3[X]/(X^2) who´s minimum homogenous weight is 111.

Homogenous weight enumerator: w(x)=1x^0+672x^111+2688x^114+4872x^117+6852x^120+8910x^123+9952x^126+9480x^129+8256x^132+4866x^135+1836x^138+558x^141+96x^144+6x^147+2x^153+2x^162

The gray image is a linear code over GF(3) with n=189, k=10 and d=111.
This code was found by Heurico 1.16 in 55.7 seconds.