The generator matrix

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

generates a code of length 9 over F9[X]/(X^2) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+672x^54+648x^56+864x^63+40824x^64+10368x^65+107784x^72+326592x^73+41472x^74+2216x^81

The gray image is a linear code over GF(9) with n=81, k=6 and d=54.
This code was found by Heurico 1.16 in 1.53 seconds.