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

generates a code of length 35 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+96x^67+144x^68+10x^69+78x^70+288x^71+8x^72+96x^73+6x^75+2x^87

The gray image is a code over GF(3) with n=315, k=6 and d=201.
This code was found by Heurico 1.16 in 0.0197 seconds.