The generator matrix

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

generates a code of length 8 over F9[X]/(X^2) who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+448x^45+896x^54+2688x^63+52488x^64+2528x^72

The gray image is a linear code over GF(9) with n=72, k=5 and d=45.
This code was found by Heurico 1.16 in 0.0536 seconds.