The generator matrix

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

generates a code of length 31 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+480x^55+564x^56+2230x^57+3516x^58+2670x^59+6996x^60+7494x^61+6834x^62+12062x^63+7470x^64+3324x^65+3224x^66+1848x^67+174x^68+22x^69+84x^70+42x^71+6x^72+6x^73+2x^78

The gray image is a code over GF(3) with n=279, k=10 and d=165.
This code was found by Heurico 1.16 in 3.19 seconds.