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

generates a code of length 65 over Z3[X]/(X^2) who´s minimum homogenous weight is 117.

Homogenous weight enumerator: w(x)=1x^0+62x^117+104x^120+24x^121+106x^123+132x^124+90x^126+312x^127+78x^129+462x^130+50x^132+408x^133+50x^135+120x^136+48x^138+36x^141+32x^144+34x^147+14x^150+4x^153+6x^156+6x^159+4x^162+2x^168+2x^177

The gray image is a linear code over GF(3) with n=195, k=7 and d=117.
This code was found by Heurico 1.16 in 0.169 seconds.