The generator matrix

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

generates a code of length 31 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+96x^53+390x^54+558x^55+480x^56+1466x^57+3336x^58+3168x^59+5556x^60+11406x^61+5232x^62+7552x^63+11286x^64+3930x^65+3032x^66+966x^67+162x^68+150x^69+132x^70+54x^71+52x^72+18x^73+20x^75+6x^81

The gray image is a code over GF(3) with n=279, k=10 and d=159.
This code was found by Heurico 1.16 in 4.42 seconds.