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

generates a code of length 88 over F9[X]/(X^2) who´s minimum homogenous weight is 666.

Homogenous weight enumerator: w(x)=1x^0+152x^666+880x^675+1168x^684+1048x^693+5832x^696+792x^702+46656x^705+632x^711+424x^720+456x^729+392x^738+240x^747+224x^756+64x^765+32x^774+56x^783

The gray image is a linear code over GF(9) with n=792, k=5 and d=666.
This code was found by Heurico 1.16 in 1.96 seconds.