The generator matrix

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

generates a code of length 35 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+1284x^61+2316x^62+5344x^63+10314x^64+14334x^65+26198x^66+37758x^67+48300x^68+69612x^69+73314x^70+73644x^71+72406x^72+50304x^73+25650x^74+13156x^75+5712x^76+1434x^77+130x^78+138x^79+36x^80+12x^81+24x^82+12x^83+6x^84+2x^87

The gray image is a code over GF(3) with n=315, k=12 and d=183.
This code was found by Heurico 1.16 in 220 seconds.