The generator matrix

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

generates a code of length 12 over F9[X]/(X^2) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+2592x^80+2240x^81+11664x^88+41472x^89+15408x^90+157464x^96+93312x^97+165888x^98+41184x^99+216x^108

The gray image is a linear code over GF(9) with n=108, k=6 and d=80.
This code was found by Heurico 1.16 in 3.64 seconds.