The generator matrix

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

generates a code of length 62 over Z3[X]/(X^2) who´s minimum homogenous weight is 111.

Homogenous weight enumerator: w(x)=1x^0+512x^111+1454x^114+2184x^117+2964x^120+3156x^123+3368x^126+3044x^129+1718x^132+942x^135+180x^138+108x^141+28x^144+8x^147+8x^150+2x^153+6x^156

The gray image is a linear code over GF(3) with n=186, k=9 and d=111.
This code was found by Heurico 1.16 in 21.8 seconds.