The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 a^6*X  1  1  1  1 a^3*X  1  1  1  1  1  1  1 a*X  1 a^5*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
 0  1  0 a^6*X a*X a^4*X  X a^5*X a^3*X a^2*X  1 a^6*X+1  a a^6*X+a a^6*X+a^2 a^2 a^3 a^6*X+a^3  1 X+1 a^2*X+a X+a^2 a^2*X+a^3  1 a^4*X+a^6 a*X+a^2 a^6*X+a^6 a^6 a^5*X+a a^3*X+1 a^5*X+a^6  1 X+a^3  1 a^5*X+a^6 a^4*X+a a*X+1 X+a^4 a^3*X+a^2 a^4 X+a^6 a^2*X+1 a^3*X+a^4 a^5*X+a^3 a*X+a^4 a^2*X+a^6 X+a a^5 a^4*X+a^4 a^4*X+a^2  a X+a^4 a^4*X+a^3 a^5*X+a^4 a^5*X+a a^4*X+a^2 a*X+1 a*X+a^3 a^2*X+1 a*X a^4*X+a^4 a^5*X+a^3 a^4*X+1 a^4*X+a
 0  0  1  1  a a^2 a^6*X+a^3 a^6*X+a^4 a^5 a^6 X+a^6 X+a^5  X X+1 a^3 a*X+a^2 a^2*X+a a^4  1 a^3*X+a^4 a^5*X+a a^5*X+a^6 a^4*X a^5*X+a^6 X+a^3 a^6*X+1 a^4*X+a^5 a*X+a^4 a^4*X+a^2 a^2*X+1 a^3*X+a^6 a^3 a^4*X+a^2 a*X+a^4 a^3*X a^5*X+a^4 a^5*X+a^3 a^4*X+a a^5 a^6*X a^4*X+1 a^3*X+a^2 a*X+a^5 a^2*X+1 X+a^4 a^6*X+a^2 a^2*X+a^6 a^5*X+a^3 a^3 a^2*X+a^3 a^6*X+a^5 a^2 a^3*X a^6*X a^4*X+1 X+a^2 a^3*X+a^4 X+a^4 a^3*X+a^5 a^3*X+a^6 a^5*X+1 a^4*X+a^5 a^3*X+a^3 a^2*X+a^6

generates a code of length 64 over F8[X]/(X^2) who´s minimum homogenous weight is 432.

Homogenous weight enumerator: w(x)=1x^0+6636x^432+6944x^433+5544x^434+168x^435+1008x^436+2184x^437+5824x^438+1176x^439+22414x^440+15512x^441+12824x^442+1008x^443+3360x^444+4592x^445+7168x^446+784x^447+29134x^448+20720x^449+15960x^450+2408x^451+6384x^452+7560x^453+12096x^454+1624x^455+35399x^456+21336x^457+12264x^458+49x^464+28x^472+21x^480+7x^488+7x^496

The gray image is a linear code over GF(8) with n=512, k=6 and d=432.
This code was found by Heurico 1.16 in 39.9 seconds.