The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1
 0  X  0  0  0  X  X  X a*X a^3*X  0  X a*X
 0  0  X  0  0 a^7*X a^6*X a*X 2*X a^7*X  X a^7*X  0
 0  0  0  X  0 a^7*X  X a^2*X a^2*X a^6*X a^3*X a^6*X a*X
 0  0  0  0  X a^6*X 2*X a^3*X  X  X a*X a*X a*X

generates a code of length 13 over F9[X]/(X^2) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+624x^72+2672x^81+5952x^90+16656x^99+472392x^104+20304x^108+12840x^117

The gray image is a linear code over GF(9) with n=117, k=6 and d=72.
This code was found by Heurico 1.16 in 10.3 seconds.