The generator matrix

 1  0  1  1  1  1  1  1  3  1  0  1  1  1 2X+3  1  1  3  1  1  1  1  X  1  1 X+6  1  1 2X+6  1 2X+3  1  1  1  X  1  1  1  1 2X+6  1  1  1  1  1  1 X+3  1  1  1  1  1  1  1  X  1  1  1  1  6  0  1  1  1  1  1  0
 0  1  1  8  3  2  0  4  1  8  1 2X+4 X+4 2X+8  1  3  5  1  1  4  0 X+5  1 2X+4 X+8  1 X+1 2X+5  1 2X+1  1 X+1 2X+8 X+5  1 2X+3  X 2X+6  1  1 X+6 2X+6 X+7 2X 2X  8  1 X+6 X+8 2X+8 X+8 X+7 2X+1 X+7  1 X+8 X+5  5  5  1  1  7  4 X+1  4  5  1
 0  0 2X  6 X+6 X+3 2X+6 2X+3  X 2X+6 2X+6  3 X+6  0 X+3  3  X 2X+3 X+6  6 2X+3 2X  6 2X+3  X 2X 2X X+3 2X X+3  6  3 2X+6  6  X X+6  X 2X X+3 X+6  3  X  6 2X+6  0  0  0 2X 2X+3 2X+3 2X+6 X+3 2X+6  X 2X+3 X+6  X 2X+3 X+3 X+6 2X  X 2X+6 2X+3  0  3  6

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+472x^129+618x^130+528x^131+1134x^132+714x^133+360x^134+544x^135+528x^136+318x^137+638x^138+384x^139+72x^140+186x^141+18x^142+12x^143+6x^144+6x^145+6x^147+6x^149+2x^153+6x^156+2x^162

The gray image is a code over GF(3) with n=603, k=8 and d=387.
This code was found by Heurico 1.16 in 0.193 seconds.