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

generates a code of length 68 over Z3[X]/(X^2) who´s minimum homogenous weight is 122.

Homogenous weight enumerator: w(x)=1x^0+234x^122+214x^123+780x^125+556x^126+1320x^128+812x^129+1716x^131+902x^132+2046x^134+1024x^135+2340x^137+1004x^138+1854x^140+858x^141+1518x^143+638x^144+876x^146+332x^147+354x^149+136x^150+84x^152+34x^153+14x^156+12x^159+6x^162+14x^165+2x^168+2x^174

The gray image is a linear code over GF(3) with n=204, k=9 and d=122.
This code was found by Heurico 1.16 in 6.96 seconds.