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

generates a code of length 87 over F9[X]/(X^2) who´s minimum homogenous weight is 657.

Homogenous weight enumerator: w(x)=1x^0+112x^657+752x^666+1248x^675+648x^680+1056x^684+10368x^689+784x^693+41472x^698+664x^702+440x^711+408x^720+392x^729+272x^738+256x^747+128x^756+40x^765+8x^774

The gray image is a linear code over GF(9) with n=783, k=5 and d=657.
This code was found by Heurico 1.16 in 1.92 seconds.