The generator matrix

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

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+806x^111+2664x^114+4540x^117+6944x^120+8836x^123+10068x^126+10106x^129+7652x^132+4924x^135+1840x^138+550x^141+88x^144+10x^147+6x^150+8x^153+4x^156+2x^159

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 59.1 seconds.