The generator matrix
1 1 1 1 1 1 1
0 X 0 0 X X a*X
0 0 X 0 a^7*X a^6*X a*X
0 0 0 X a^7*X X a^5*X
generates a code of length 7 over F9[X]/(X^2) who´s minimum homogenous weight is 36.
Homogenous weight enumerator: w(x)=1x^0+280x^36+840x^45+2576x^54+52488x^56+2864x^63
The gray image is a linear code over GF(9) with n=63, k=5 and d=36.
This code was found by Heurico 1.16 in 0.0399 seconds.