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

generates a code of length 35 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+172x^66+72x^67+282x^68+382x^69+534x^70+324x^71+248x^72+18x^73+18x^74+56x^75+18x^76+24x^77+6x^78+6x^79+24x^81+2x^96

The gray image is a code over GF(3) with n=315, k=7 and d=198.
This code was found by Heurico 1.16 in 0.102 seconds.