The generator matrix

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

generates a code of length 34 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+216x^63+258x^64+666x^65+1054x^66+642x^67+804x^68+1078x^69+660x^70+624x^71+450x^72+48x^73+8x^75+6x^76+6x^77+20x^78+6x^79+6x^80+6x^81+2x^90

The gray image is a code over GF(3) with n=306, k=8 and d=189.
This code was found by Heurico 1.16 in 0.0512 seconds.