The generator matrix

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

generates a code of length 63 over Z3[X]/(X^2) who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+62x^108+18x^110+206x^111+60x^112+114x^113+484x^114+144x^115+252x^116+742x^117+414x^118+360x^119+1048x^120+588x^121+666x^122+1760x^123+774x^124+870x^125+2240x^126+810x^127+828x^128+1896x^129+858x^130+702x^131+1226x^132+486x^133+384x^134+666x^135+180x^136+144x^137+300x^138+60x^139+30x^140+114x^141+6x^143+80x^144+52x^147+32x^150+16x^153+8x^156+2x^159

The gray image is a linear code over GF(3) with n=189, k=9 and d=108.
This code was found by Heurico 1.16 in 6.7 seconds.