The generator matrix

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

generates a code of length 31 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+162x^58+278x^60+174x^61+972x^62+414x^63+36x^64+30x^66+72x^67+4x^69+24x^70+18x^73+2x^90

The gray image is a code over GF(3) with n=279, k=7 and d=174.
This code was found by Heurico 1.16 in 9.59 seconds.