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

generates a code of length 89 over F9[X]/(X^2) who´s minimum homogenous weight is 675.

Homogenous weight enumerator: w(x)=1x^0+192x^675+1000x^684+72x^688+1128x^693+1728x^697+1000x^702+13824x^706+816x^711+36864x^715+616x^720+472x^729+392x^738+320x^747+224x^756+192x^765+144x^774+40x^783+24x^792

The gray image is a linear code over GF(9) with n=801, k=5 and d=675.
This code was found by Heurico 1.16 in 1.99 seconds.