The generator matrix

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

generates a code of length 73 over F9[X]/(X^2) who´s minimum homogenous weight is 573.

Homogenous weight enumerator: w(x)=1x^0+10584x^573+6048x^574+272x^576+10584x^582+3456x^583+288x^585+19656x^591+7992x^592+128x^594+32x^603+8x^657

The gray image is a linear code over GF(9) with n=657, k=5 and d=573.
This code was found by Heurico 1.16 in 54.3 seconds.