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

generates a code of length 76 over F9[X]/(X^2) who´s minimum homogenous weight is 591.

Homogenous weight enumerator: w(x)=1x^0+936x^591+104x^594+3240x^596+4536x^597+2016x^598+2592x^599+4176x^600+272x^603+5184x^605+4536x^606+1152x^607+648x^608+1800x^609+232x^612+9072x^614+8424x^615+2664x^616+2592x^617+4752x^618+64x^621+32x^630+8x^639+8x^648+8x^657

The gray image is a linear code over GF(9) with n=684, k=5 and d=591.
This code was found by Heurico 1.16 in 0.616 seconds.