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

generates a code of length 66 over Z3[X]/(X^2) who´s minimum homogenous weight is 118.

Homogenous weight enumerator: w(x)=1x^0+198x^118+108x^119+382x^120+522x^121+270x^122+534x^123+882x^124+468x^125+906x^126+1146x^127+702x^128+1008x^129+1290x^130+708x^131+1064x^132+1506x^133+852x^134+932x^135+1368x^136+564x^137+766x^138+954x^139+480x^140+630x^141+522x^142+192x^143+224x^144+258x^145+30x^146+46x^147+96x^148+26x^150+6x^151+14x^153+8x^156+12x^159+2x^162+4x^165+2x^168

The gray image is a linear code over GF(3) with n=198, k=9 and d=118.
This code was found by Heurico 1.16 in 67.2 seconds.