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

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+198x^121+390x^122+148x^123+762x^124+822x^125+272x^126+1146x^127+1236x^128+286x^129+1242x^130+1308x^131+332x^132+1284x^133+1422x^134+386x^135+1350x^136+1218x^137+294x^138+1146x^139+1086x^140+244x^141+924x^142+780x^143+116x^144+438x^145+372x^146+66x^147+204x^148+96x^149+30x^150+36x^151+18x^152+6x^153+18x^154+2x^156+2x^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 8.72 seconds.