The generator matrix

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

generates a code of length 68 over Z3[X]/(X^2) who´s minimum homogenous weight is 128.

Homogenous weight enumerator: w(x)=1x^0+162x^128+152x^129+360x^131+150x^132+234x^134+160x^135+204x^137+66x^138+210x^140+84x^141+180x^143+38x^144+48x^146+48x^147+60x^149+16x^150+2x^153+2x^156+2x^159+4x^162+2x^165+2x^171

The gray image is a linear code over GF(3) with n=204, k=7 and d=128.
This code was found by Heurico 1.16 in 2.4 seconds.