The generator matrix

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

generates a code of length 13 over F9[X]/(X^2) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+2808x^88+2808x^89+104x^90+8424x^96+44928x^97+19656x^98+312x^99+151632x^104+67392x^105+179712x^106+53352x^107+104x^108+208x^117

The gray image is a linear code over GF(9) with n=117, k=6 and d=88.
This code was found by Heurico 1.16 in 3.91 seconds.