The generator matrix

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

generates a code of length 34 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+534x^61+1026x^62+2228x^63+2898x^64+4446x^65+5426x^66+6492x^67+9558x^68+9388x^69+6282x^70+5298x^71+3090x^72+1674x^73+522x^74+26x^75+78x^76+36x^77+8x^78+24x^79+12x^80+2x^93

The gray image is a code over GF(3) with n=306, k=10 and d=183.
This code was found by Heurico 1.16 in 3.26 seconds.