The generator matrix

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

generates a code of length 83 over F9[X]/(X^2) who´s minimum homogenous weight is 648.

Homogenous weight enumerator: w(x)=1x^0+1656x^648+2160x^652+4392x^653+2016x^654+2592x^655+7040x^657+3456x^661+4824x^662+1152x^663+648x^664+3328x^666+6048x^670+8280x^671+2664x^672+2592x^673+6104x^675+56x^684+24x^693+8x^711+8x^720

The gray image is a linear code over GF(9) with n=747, k=5 and d=648.
This code was found by Heurico 1.16 in 0.682 seconds.