The generator matrix

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

generates a code of length 31 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+974x^54+1062x^55+3078x^56+4926x^57+7308x^58+11826x^59+19350x^60+19278x^61+27810x^62+32040x^63+20322x^64+16146x^65+8208x^66+3060x^67+918x^68+702x^69+132x^72+6x^75

The gray image is a code over GF(3) with n=279, k=11 and d=162.
This code was found by Heurico 1.16 in 398 seconds.