The generator matrix

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

generates a code of length 13 over F9[X]/(X^2) who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+504x^96+432x^97+24x^99+4032x^105+1512x^106+56x^108

The gray image is a linear code over GF(9) with n=117, k=4 and d=96.
This code was found by Heurico 1.16 in 0.00122 seconds.