The generator matrix

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

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+162x^61+516x^62+580x^63+1170x^64+1380x^65+1698x^66+3000x^67+2442x^68+2330x^69+2916x^70+1626x^71+950x^72+414x^73+276x^74+24x^75+114x^76+78x^77+4x^78+2x^81

The gray image is a code over GF(3) with n=306, k=9 and d=183.
This code was found by Heurico 1.16 in 0.723 seconds.