The generator matrix

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

generates a code of length 22 over F9[X]/(X^2) who´s minimum homogenous weight is 135.

Homogenous weight enumerator: w(x)=1x^0+200x^135+1832x^144+3888x^153+7192x^162+12560x^171+472392x^176+16776x^180+12488x^189+4112x^198

The gray image is a linear code over GF(9) with n=198, k=6 and d=135.
This code was found by Heurico 1.16 in 25 seconds.