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

generates a code of length 86 over F9[X]/(X^2) who´s minimum homogenous weight is 657.

Homogenous weight enumerator: w(x)=1x^0+832x^657+1112x^666+1008x^675+5832x^680+880x^684+46656x^689+656x^693+552x^702+456x^711+432x^720+248x^729+160x^738+152x^747+48x^756+24x^765

The gray image is a linear code over GF(9) with n=774, k=5 and d=657.
This code was found by Heurico 1.16 in 42.9 seconds.