The generator matrix

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

generates a code of length 17 over F9[X]/(X^2) who´s minimum homogenous weight is 126.

Homogenous weight enumerator: w(x)=1x^0+312x^126+648x^128+152x^135+5184x^137+120x^144+144x^153

The gray image is a linear code over GF(9) with n=153, k=4 and d=126.
This code was found by Heurico 1.16 in 0.00554 seconds.