The generator matrix

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

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+408x^63+534x^64+646x^66+1644x^67+1072x^69+1620x^70+516x^72+60x^73+20x^75+30x^76+8x^78+2x^90

The gray image is a code over GF(3) with n=306, k=8 and d=189.
This code was found by Heurico 1.16 in 0.0684 seconds.