The generator matrix

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

generates a code of length 68 over Z3[X]/(X^2) who´s minimum homogenous weight is 117.

Homogenous weight enumerator: w(x)=1x^0+34x^117+144x^120+168x^123+284x^126+380x^129+946x^132+1616x^135+1596x^138+740x^141+166x^144+146x^147+106x^150+110x^153+44x^156+36x^159+26x^162+10x^165+2x^168+2x^171+2x^174+2x^189

The gray image is a linear code over GF(3) with n=204, k=8 and d=117.
This code was found by Heurico 1.16 in 1.33 seconds.