The generator matrix

 1  0  1  1  1  1  1  1  1  0  1  1
 0  1  1  a a^7*X+a^2 a^3 a^7*X+2 a^7*X+a^6 a^7*X+a^2  1  0  0
 0  0 a^7*X  0 a^7*X  X a^6*X a^6*X  X a^6*X  0  X
 0  0  0  X a^7*X a^7*X  X a*X a*X a^2*X a^5*X a^7*X

generates a code of length 12 over F9[X]/(X^2) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+280x^72+1296x^80+2728x^81+29160x^88+20736x^89+14856x^90+104976x^96+233280x^97+82944x^98+39704x^99+1480x^108

The gray image is a linear code over GF(9) with n=108, k=6 and d=72.
This code was found by Heurico 1.16 in 3.97 seconds.