The generator matrix

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

generates a code of length 67 over Z3[X]/(X^2) who´s minimum homogenous weight is 121.

Homogenous weight enumerator: w(x)=1x^0+234x^121+432x^122+128x^123+672x^124+906x^125+246x^126+1074x^127+1188x^128+344x^129+1308x^130+1134x^131+316x^132+1422x^133+1374x^134+430x^135+1296x^136+1416x^137+286x^138+1206x^139+1050x^140+206x^141+822x^142+744x^143+130x^144+468x^145+330x^146+52x^147+204x^148+156x^149+30x^150+36x^151+18x^152+10x^153+6x^154+2x^156+4x^159+2x^162

The gray image is a linear code over GF(3) with n=201, k=9 and d=121.
This code was found by Heurico 1.16 in 9.92 seconds.