The generator matrix

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

generates a code of length 31 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+756x^53+1102x^54+4764x^55+9420x^56+12814x^57+25572x^58+35418x^59+49632x^60+71100x^61+79464x^62+80278x^63+74892x^64+48246x^65+22208x^66+11094x^67+3984x^68+366x^69+144x^70+96x^71+54x^72+30x^73+6x^74

The gray image is a code over GF(3) with n=279, k=12 and d=159.
This code was found by Heurico 1.16 in 182 seconds.