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  1  1  1  1  1  1  1  X  1  1  X  X  X
 0  X 2X  0 X+6 2X 2X+3  3 X+6 X+6  0 2X X+6  0 2X 2X+3  6 X+3 X+6  0  3 X+3  0 X+6 2X 2X+3 2X+3 2X+6  3 X+3  3 X+3  3 X+3 2X 2X+3  0  6 X+3 X+6 2X+3 2X  3  3 2X+3 X+3 X+3 X+6  3 2X 2X+3  6  0 X+3  X 2X+3  3  3 2X 2X+6 2X+3 X+6 2X+6  6 X+6 X+6 X+6
 0  0  3  0  0  0  6  0  6  3  0  3  3  3  0  3  3  0  6  6  3  0  6  3  3  0  6  6  6  3  3  6  6  6  0  6  0  0  0  6  3  6  0  3  0  6  3  3  3  6  3  0  6  3  0  6  6  6  6  0  3  6  3  6  6  0  3
 0  0  0  3  0  3  6  6  6  3  0  6  0  6  6  6  0  6  0  0  6  3  6  0  3  0  0  3  3  6  3  3  3  0  3  0  3  6  6  3  6  6  6  3  6  3  6  3  6  3  0  3  6  3  3  6  6  0  3  6  3  6  3  0  0  6  6
 0  0  0  0  6  6  3  0  6  3  6  6  0  0  6  0  3  0  6  6  3  0  6  3  0  6  3  3  6  3  3  6  3  3  3  0  6  6  3  3  3  0  3  0  0  0  0  0  6  0  6  3  3  6  6  6  0  0  6  3  3  0  3  0  6  3  0

generates a code of length 67 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 126.

Homogenous weight enumerator: w(x)=1x^0+270x^126+590x^129+870x^132+2916x^134+992x^135+550x^138+144x^141+128x^144+64x^147+30x^150+2x^153+2x^156+2x^189

The gray image is a code over GF(3) with n=603, k=8 and d=378.
This code was found by Heurico 1.16 in 0.433 seconds.