The generator matrix

 1  0  1  1  1  1  1  1  1
 0  1  1  a a^7*X+a^2  0 a^7*X+1  a a^7*X+a^2
 0  0 a^7*X a*X a^6*X a^3*X a^5*X 2*X  X

generates a code of length 9 over F9[X]/(X^2) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+288x^56+288x^63+648x^64+4608x^65+29304x^72+5184x^73+18432x^74+296x^81

The gray image is a linear code over GF(9) with n=81, k=5 and d=56.
This code was found by Heurico 1.16 in 0.126 seconds.