The generator matrix

 1  0  1  1  1  1  1
 0  1  1  a a^7*X+a^2 a^3  0
 0  0 a^7*X  0 a^7*X  X  X
 0  0  0  X a^7*X a^7*X a*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+648x^40+840x^45+29160x^48+10368x^49+2576x^54+209952x^56+233280x^57+41472x^58+2864x^63

The gray image is a linear code over GF(9) with n=63, k=6 and d=36.
This code was found by Heurico 1.16 in 1.21 seconds.