The generator matrix

 1  0  1  1  1  1  1 X+6  1  1 2X  1  1  1  0  1  1  1  1  1 X+6  1  1  1  1  1 2X  1  1  1  1
 0  1 2X+7  8 X+6 X+1 X+5  1 2X+8 2X  1  7 2X+7  8  1  0 2X X+6 X+5 2X+8  1 2X+7 X+1  0  7  7  1 X+6  7  4  8
 0  0  6  0  0  0  6  6  3  3  6  6  3  3  3  6  6  6  6  0  3  6  3  0  6  0  0  6  6  0  0
 0  0  0  3  0  3  6  3  3  6  0  3  6  3  0  0  0  6  3  0  3  6  6  3  6  3  3  6  3  0  6
 0  0  0  0  6  6  3  0  3  6  6  3  3  6  3  0  6  3  0  6  3  6  6  6  0  0  6  6  0  3  6

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+90x^54+126x^55+270x^56+220x^57+1470x^58+1404x^59+262x^60+5082x^61+2754x^62+274x^63+5184x^64+1836x^65+218x^66+276x^67+54x^68+110x^69+12x^70+20x^72+12x^75+6x^78+2x^81

The gray image is a code over GF(3) with n=279, k=9 and d=162.
This code was found by Heurico 1.16 in 0.475 seconds.