The generator matrix

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

generates a code of length 15 over F9[X]/(X^2) who´s minimum homogenous weight is 105.

Homogenous weight enumerator: w(x)=1x^0+648x^105+208x^108+3888x^112+4536x^114+216x^117+5832x^120+31104x^121+12312x^123+144x^126+160x^135

The gray image is a linear code over GF(9) with n=135, k=5 and d=105.
This code was found by Heurico 1.16 in 0.0719 seconds.