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

generates a code of length 65 over F9[X]/(X^2) who´s minimum homogenous weight is 486.

Homogenous weight enumerator: w(x)=1x^0+232x^486+1040x^495+72x^496+1208x^504+1728x^505+896x^513+13824x^514+856x^522+36864x^523+736x^531+528x^540+456x^549+352x^558+176x^567+48x^576+32x^585

The gray image is a linear code over GF(9) with n=585, k=5 and d=486.
This code was found by Heurico 1.16 in 1.38 seconds.