The generator matrix

 1  1  1  1  1
 0  3  0  0  0
 0  0  3  0  0
 0  0  0  3  0
 0  0  0  0  3

generates a code of length 5 over GR(81,9) who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+40x^9+640x^18+5120x^27+20480x^36+472392x^40+32768x^45

The gray image is a code over GF(9) with n=45, k=6 and d=9.
This code was found by Heurico 1.16 in 0.804 seconds.