The generator matrix

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

generates a code of length 69 over Z3[X]/(X^2) who´s minimum homogenous weight is 122.

Homogenous weight enumerator: w(x)=1x^0+336x^122+332x^123+1494x^125+958x^126+2790x^128+1680x^129+4200x^131+2090x^132+5226x^134+3186x^135+6276x^137+3208x^138+6486x^140+2874x^141+5508x^143+2598x^144+3948x^146+1652x^147+2256x^149+786x^150+678x^152+230x^153+162x^155+44x^156+6x^158+18x^159+16x^162+4x^165+2x^168+2x^171+2x^180

The gray image is a linear code over GF(3) with n=207, k=10 and d=122.
This code was found by Heurico 1.16 in 57.4 seconds.