The generator matrix

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

generates a code of length 3 over F9[X]/(X^2) who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+24x^9+1944x^16+192x^18+40824x^24+15552x^25+512x^27

The gray image is a linear code over GF(9) with n=27, k=5 and d=9.
This code was found by Heurico 1.16 in 0.00412 seconds.