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

generates a code of length 91 over F9[X]/(X^2) who´s minimum homogenous weight is 693.

Homogenous weight enumerator: w(x)=1x^0+400x^693+1104x^702+72x^704+1120x^711+1728x^713+840x^720+13824x^722+736x^729+36864x^731+552x^738+520x^747+392x^756+368x^765+240x^774+168x^783+72x^792+40x^801+8x^810

The gray image is a linear code over GF(9) with n=819, k=5 and d=693.
This code was found by Heurico 1.16 in 2.03 seconds.