The generator matrix

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

generates a code of length 63 over Z3[X]/(X^2) who´s minimum homogenous weight is 112.

Homogenous weight enumerator: w(x)=1x^0+138x^112+138x^113+308x^114+534x^115+324x^116+602x^117+846x^118+432x^119+790x^120+1188x^121+666x^122+1006x^123+1356x^124+726x^125+1100x^126+1386x^127+702x^128+1134x^129+1578x^130+720x^131+852x^132+900x^133+402x^134+500x^135+570x^136+162x^137+164x^138+174x^139+96x^140+36x^141+72x^142+6x^143+30x^144+6x^145+16x^147+10x^150+6x^153+2x^156+2x^159+2x^162

The gray image is a linear code over GF(3) with n=189, k=9 and d=112.
This code was found by Heurico 1.16 in 36.6 seconds.