The generator matrix

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

generates a code of length 92 over F9[X]/(X^2) who´s minimum homogenous weight is 720.

Homogenous weight enumerator: w(x)=1x^0+632x^720+2376x^721+4320x^725+5616x^726+2592x^729+6120x^730+4968x^734+4320x^735+1200x^738+3960x^739+8208x^743+7560x^744+2016x^747+5040x^748+48x^756+48x^765+8x^810+16x^828

The gray image is a linear code over GF(9) with n=828, k=5 and d=720.
This code was found by Heurico 1.16 in 0.783 seconds.