The generator matrix

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

generates a code of length 19 over F9[X]/(X^2) who´s minimum homogenous weight is 117.

Homogenous weight enumerator: w(x)=1x^0+768x^117+2936x^126+5456x^135+10976x^144+472392x^152+17944x^153+14712x^162+6256x^171

The gray image is a linear code over GF(9) with n=171, k=6 and d=117.
This code was found by Heurico 1.16 in 20.6 seconds.