The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  1  1  1  X  X  1  X  1  1  X  6  6  0  1
 0  6  3  0  6  3  0  6  3  0  6  3  0  6  3  0  6  3  6  3  0  6  3  6  3  0  0  6  3  0  6  3  6  0

generates a code of length 34 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+60x^68+2x^69+12x^71+4x^72+2x^75

The gray image is a code over GF(3) with n=306, k=4 and d=204.
This code was found by Heurico 1.16 in 0.00775 seconds.