The generator matrix

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

generates a code of length 93 over F9[X]/(X^2) who´s minimum homogenous weight is 729.

Homogenous weight enumerator: w(x)=1x^0+3208x^729+4464x^733+5760x^734+9232x^738+4680x^742+4032x^743+4168x^747+8352x^751+7704x^752+7328x^756+48x^765+40x^774+8x^783+8x^792+16x^801

The gray image is a linear code over GF(9) with n=837, k=5 and d=729.
This code was found by Heurico 1.16 in 2.42 seconds.