The generator matrix

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

generates a code of length 31 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+876x^53+1454x^54+4248x^55+9276x^56+13126x^57+24888x^58+34968x^59+51098x^60+69852x^61+79662x^62+83606x^63+72534x^64+47280x^65+22890x^66+10590x^67+4218x^68+544x^69+132x^70+120x^71+52x^72+6x^73+18x^74+2x^75

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 221 seconds.