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

generates a code of length 67 over Z3[X]/(X^2) who´s minimum homogenous weight is 123.

Homogenous weight enumerator: w(x)=1x^0+170x^123+130x^126+144x^129+576x^132+638x^135+288x^138+94x^141+48x^144+52x^150+14x^153+24x^159+4x^162+2x^168+2x^189

The gray image is a linear code over GF(3) with n=201, k=7 and d=123.
This code was found by Heurico 1.16 in 6.61 seconds.