The generator matrix

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

generates a code of length 5 over F9[X]/(X^2) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+360x^32+40x^36+3240x^40+2880x^41+40x^45

The gray image is a linear code over GF(9) with n=45, k=4 and d=32.
This code was found by Heurico 1.16 in 0.000259 seconds.