The generator matrix

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

generates a code of length 8 over F9[X]/(X^2) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+560x^36+2240x^45+10304x^54+22912x^63+472392x^64+23032x^72

The gray image is a linear code over GF(9) with n=72, k=6 and d=36.
This code was found by Heurico 1.16 in 2.59 seconds.