The generator matrix

 1  1  1  1  1  1  1
 0  X  0  0  0  X  X
 0  0  X  0  0 a^7*X a^6*X
 0  0  0  X  0 a^7*X  X
 0  0  0  0  X a^6*X 2*X

generates a code of length 7 over F9[X]/(X^2) 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 linear code over GF(9) with n=63, k=6 and d=27.
This code was found by Heurico 1.16 in 1.96 seconds.