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

generates a code of length 36 over F9[X]/(X^2) who´s minimum homogenous weight is 261.

Homogenous weight enumerator: w(x)=1x^0+544x^261+1136x^270+1128x^279+5832x^280+1112x^288+46656x^289+1000x^297+984x^306+528x^315+128x^324

The gray image is a linear code over GF(9) with n=324, k=5 and d=261.
This code was found by Heurico 1.16 in 0.653 seconds.