The generator matrix

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

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+48x^67+162x^68+16x^69+8x^72+6x^76+2x^78

The gray image is a code over GF(3) with n=306, k=5 and d=201.
This code was found by Heurico 1.16 in 0.00787 seconds.