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 2X  1  1  1  1  1  1  1  1  1
 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  1 X+2  1  0  1 2X X+1  1  X X+2
 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 X+2 X+1  X  1 X+2 2X  1  X  2 2X+2 X+2
 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 X+1 2X X+1  0  1  1 2X  0 2X  2 2X+1
 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  0  X  2 2X+2  0  1  X 2X+1 X+2  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+350x^111+264x^112+528x^113+1510x^114+870x^115+846x^116+2720x^117+1200x^118+1386x^119+3912x^120+1722x^121+1890x^122+4814x^123+2022x^124+2064x^125+5336x^126+2160x^127+2322x^128+5662x^129+2022x^130+1926x^131+4460x^132+1620x^133+1362x^134+2562x^135+840x^136+612x^137+1090x^138+312x^139+138x^140+340x^141+78x^142+48x^143+44x^144+12x^145+2x^153+2x^156

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 59.9 seconds.