The generator matrix

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

generates a code of length 65 over F9[X]/(X^2) who´s minimum homogenous weight is 500.

Homogenous weight enumerator: w(x)=1x^0+3888x^500+9000x^501+3024x^502+128x^504+432x^506+720x^507+15048x^508+33696x^509+43272x^510+9360x^511+1296x^512+1432x^513+1728x^515+1800x^516+24336x^517+57024x^518+67896x^519+13032x^520+10368x^521+4848x^522+3672x^524+3312x^525+42264x^526+80352x^527+83952x^528+15408x^529+112x^531+8x^540+8x^549+8x^567+16x^576

The gray image is a linear code over GF(9) with n=585, k=6 and d=500.
This code was found by Heurico 1.16 in 32.5 seconds.