The generator matrix

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

generates a code of length 11 over F9[X]/(X^2) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+672x^54+1872x^63+4824x^72+13448x^81+472392x^88+19944x^90+18288x^99

The gray image is a linear code over GF(9) with n=99, k=6 and d=54.
This code was found by Heurico 1.16 in 6.23 seconds.