The generator matrix

 1  0  0  1  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 a^3
 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  X

generates a code of length 14 over F9[X]/(X^2) who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+2448x^96+4104x^97+152x^99+9720x^104+39168x^105+28728x^106+272x^108+134136x^112+77760x^113+156672x^114+77976x^115+120x^117+184x^126

The gray image is a linear code over GF(9) with n=126, k=6 and d=96.
This code was found by Heurico 1.16 in 4.16 seconds.