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

generates a code of length 67 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 129.

Homogenous weight enumerator: w(x)=1x^0+38x^129+24x^130+178x^132+84x^133+1620x^134+100x^135+36x^136+56x^138+12x^139+26x^141+6x^142+4x^144+2x^201

The gray image is a code over GF(3) with n=603, k=7 and d=387.
This code was found by Heurico 1.16 in 0.162 seconds.