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

generates a code of length 34 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+180x^64+156x^65+188x^66+300x^67+570x^68+372x^69+264x^70+18x^71+2x^72+18x^73+60x^74+2x^75+42x^76+6x^77+6x^79+2x^93

The gray image is a code over GF(3) with n=306, k=7 and d=192.
This code was found by Heurico 1.16 in 0.118 seconds.