The generator matrix

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

generates a code of length 28 over F9[X]/(X^2) who´s minimum homogenous weight is 180.

Homogenous weight enumerator: w(x)=1x^0+408x^180+2032x^189+3552x^198+6152x^207+62232x^216+433328x^225+13384x^234+8104x^243+2248x^252

The gray image is a linear code over GF(9) with n=252, k=6 and d=180.
This code was found by Heurico 1.16 in 36.6 seconds.