The generator matrix

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

generates a code of length 14 over F9[X]/(X^2) who´s minimum homogenous weight is 97.

Homogenous weight enumerator: w(x)=1x^0+432x^97+168x^99+5184x^104+3024x^106+224x^108+41472x^113+8208x^115+168x^117+168x^126

The gray image is a linear code over GF(9) with n=126, k=5 and d=97.
This code was found by Heurico 1.16 in 0.0684 seconds.