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

generates a code of length 64 over F9[X]/(X^2) who´s minimum homogenous weight is 492.

Homogenous weight enumerator: w(x)=1x^0+5760x^492+6840x^493+2736x^494+56x^495+72x^496+216x^497+3600x^499+9720x^500+47736x^501+27864x^502+9936x^503+192x^504+1152x^505+1512x^506+9000x^508+15552x^509+82296x^510+48168x^511+18576x^512+344x^513+4608x^514+4104x^515+16560x^517+27216x^518+114984x^519+57096x^520+15408x^521+72x^522+40x^531+8x^549+8x^558+8x^576

The gray image is a linear code over GF(9) with n=576, k=6 and d=492.
This code was found by Heurico 1.16 in 31.7 seconds.