The generator matrix

 1  0  1  1  1  1  1 X+3  1  1  1 2X  1  1  1  6  1  1  1 X+6  1  1  1 2X+6  1  1  1  1  1  1  1  1  3  X
 0  1 2X+4  8 X+3 X+1 X+2  1 2X  4 2X+8  1  6 2X+7  5  1 X+6 X+7 X+5  1 2X+6  7 2X+5  1  3  X 2X+1 X+4 2X+3  1  2 X+8  1  1

generates a code of length 34 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+96x^67+576x^68+48x^70+4x^75+4x^78

The gray image is a code over GF(3) with n=306, k=6 and d=201.
This code was found by Heurico 1.16 in 0.00604 seconds.