The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  0  X  X  6  1  1  1  1  1  X  X
 0  X 2X  6 X+3 2X+6  3 X+6 2X+3  0 X+3 2X  6 X+6 2X+6  3  X 2X+3 X+3 2X  X X+6 2X+6  X  0  6 X+3 X+6  3  X 2X+3

generates a code of length 31 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+60x^61+144x^62+30x^64+2x^66+4x^69+2x^75

The gray image is a code over GF(3) with n=279, k=5 and d=183.
This code was found by Heurico 1.16 in 0.00558 seconds.