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 2X+6 X+1  7  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 X+3 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+476x^129+564x^130+732x^131+1006x^132+552x^133+474x^134+578x^135+480x^136+432x^137+560x^138+330x^139+132x^140+192x^141+6x^142+12x^143+4x^144+6x^145+8x^147+6x^148+2x^153+6x^156+2x^159

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 0.231 seconds.