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

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+112x^54+12x^55+126x^56+220x^57+78x^58+396x^59+1214x^60+180x^61+810x^62+2230x^63+168x^64+576x^65+162x^66+48x^67+36x^68+146x^69+22x^72+12x^75+8x^78+2x^81+2x^84

The gray image is a code over GF(3) with n=279, k=8 and d=162.
This code was found by Heurico 1.16 in 0.113 seconds.