The generator matrix

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

generates a code of length 69 over Z3[X]/(X^2) who´s minimum homogenous weight is 125.

Homogenous weight enumerator: w(x)=1x^0+252x^125+270x^126+330x^127+762x^128+652x^129+498x^130+1098x^131+904x^132+618x^133+1266x^134+1142x^135+654x^136+1218x^137+948x^138+642x^139+1380x^140+872x^141+690x^142+1182x^143+758x^144+480x^145+804x^146+592x^147+294x^148+492x^149+300x^150+132x^151+234x^152+84x^153+30x^154+42x^155+22x^156+6x^157+18x^158+12x^159+4x^162

The gray image is a linear code over GF(3) with n=207, k=9 and d=125.
This code was found by Heurico 1.16 in 6.57 seconds.