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

generates a code of length 31 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+252x^56+148x^57+342x^59+724x^60+3306x^62+1140x^63+192x^65+50x^66+198x^68+122x^69+78x^71+6x^74+2x^90

The gray image is a code over GF(3) with n=279, k=8 and d=168.
This code was found by Heurico 1.16 in 0.307 seconds.