The generator matrix

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

generates a code of length 34 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+210x^62+474x^63+1500x^64+1380x^65+2696x^66+2418x^67+2598x^68+2582x^69+2040x^70+1524x^71+1280x^72+822x^73+96x^74+4x^75+12x^76+12x^77+10x^78+12x^79+12x^80

The gray image is a code over GF(3) with n=306, k=9 and d=186.
This code was found by Heurico 1.16 in 0.321 seconds.