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

generates a code of length 67 over Z3[X]/(X^2) who´s minimum homogenous weight is 126.

Homogenous weight enumerator: w(x)=1x^0+24x^126+42x^129+54x^130+64x^132+216x^133+46x^135+216x^136+26x^138+22x^141+4x^144+4x^147+2x^150+6x^153+2x^195

The gray image is a linear code over GF(3) with n=201, k=6 and d=126.
This code was found by Heurico 1.16 in 0.0491 seconds.