The generator matrix

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

generates a code of length 7 over GR(81,9) who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+280x^27+1680x^36+8568x^45+22624x^54+472392x^56+25896x^63

The gray image is a code over GF(9) with n=63, k=6 and d=27.
This code was found by Heurico 1.16 in 1.96 seconds.