The generator matrix

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

generates a code of length 31 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+538x^54+126x^55+738x^56+2184x^57+2178x^58+2610x^59+7650x^60+7452x^61+7182x^62+12848x^63+7218x^64+4014x^65+2976x^66+522x^67+36x^68+648x^69+122x^72+6x^75

The gray image is a code over GF(3) with n=279, k=10 and d=162.
This code was found by Heurico 1.16 in 33.7 seconds.