The generator matrix

 1  0  0  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  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

generates a code of length 11 over F9[X]/(X^2) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+2296x^72+1728x^73+15552x^80+35960x^81+12096x^82+163296x^88+124416x^89+143040x^90+32832x^91+224x^99

The gray image is a linear code over GF(9) with n=99, k=6 and d=72.
This code was found by Heurico 1.16 in 3.31 seconds.