The generator matrix

 1  0  1  1
 0  1  1  0
 0  0 3a+6  0
 0  0  0  3

generates a code of length 4 over GR(81,9) who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+32x^9+648x^16+384x^18+11664x^24+10368x^25+2048x^27+367416x^32+93312x^33+41472x^34+4096x^36

The gray image is a code over GF(9) with n=36, k=6 and d=9.
This code was found by Heurico 1.16 in 0.329 seconds.