The generator matrix

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

generates a code of length 31 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+804x^57+1074x^58+1272x^59+3684x^60+1548x^61+2010x^62+4172x^63+1530x^64+1242x^65+1758x^66+528x^67+6x^68+18x^69+18x^70+6x^71+12x^72

The gray image is a code over GF(3) with n=279, k=9 and d=171.
This code was found by Heurico 1.16 in 0.275 seconds.