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

generates a code of length 34 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+10x^63+30x^66+648x^68+18x^69+16x^72+4x^75+2x^102

The gray image is a code over GF(3) with n=306, k=6 and d=189.
This code was found by Heurico 1.16 in 0.0102 seconds.