The generator matrix

 1  1  1  1  1
 0  X  0  X a*X
 0  0  X a^7*X a*X

generates a code of length 5 over F9[X]/(X^2) who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+80x^27+240x^36+5832x^40+408x^45

The gray image is a linear code over GF(9) with n=45, k=4 and d=27.
This code was found by Heurico 1.16 in 0.000489 seconds.