The generator matrix

 1  0  0  1  1  1  1  1  1
 0  1  0 a^7*X+1  a a^2 a^7*X+2 a^7*X+a^7  X
 0  0  1 a^7*X+a^7  a a^6 a^7*X+a^5 a^7*X+2 a^6*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+56x^54+2160x^56+1008x^57+192x^63+13608x^64+26784x^65+11592x^66+227616x^72+108864x^73+111024x^74+28224x^75+312x^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 2.49 seconds.