The generator matrix

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

generates a code of length 64 over F9[X]/(X^2) who´s minimum homogenous weight is 477.

Homogenous weight enumerator: w(x)=1x^0+216x^477+432x^482+72x^483+216x^484+1296x^485+984x^486+144x^488+288x^489+3312x^491+2160x^492+2880x^493+11880x^494+1096x^495+3456x^497+3024x^498+12096x^500+6696x^501+8208x^502+26568x^503+912x^504+27648x^506+16416x^507+34128x^509+20664x^510+20736x^511+63504x^512+984x^513+73728x^515+32760x^516+55008x^518+22896x^519+20448x^520+54216x^521+720x^522+576x^531+384x^540+336x^549+240x^558+104x^567+8x^576

The gray image is a linear code over GF(9) with n=576, k=6 and d=477.
This code was found by Heurico 1.16 in 37.1 seconds.