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

generates a code of length 93 over F9[X]/(X^2) who´s minimum homogenous weight is 711.

Homogenous weight enumerator: w(x)=1x^0+560x^711+1192x^720+648x^728+1056x^729+10368x^737+888x^738+41472x^746+736x^747+560x^756+408x^765+360x^774+256x^783+248x^792+128x^801+128x^810+32x^819+8x^828

The gray image is a linear code over GF(9) with n=837, k=5 and d=711.
This code was found by Heurico 1.16 in 2.08 seconds.