The generator matrix

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

generates a code of length 65 over F8[X]/(X^2) who´s minimum homogenous weight is 424.

Homogenous weight enumerator: w(x)=1x^0+133x^424+56x^428+56x^430+672x^431+595x^432+672x^433+896x^436+1064x^437+1512x^438+8960x^439+805x^440+3528x^441+5936x^444+3528x^445+4536x^446+19264x^447+560x^448+5544x^449+21056x^452+11256x^453+11256x^454+46592x^455+525x^456+11480x^457+29400x^460+12824x^461+11312x^462+39200x^463+399x^464+7448x^465+385x^472+259x^480+210x^488+126x^496+70x^504+28x^512

The gray image is a linear code over GF(8) with n=520, k=6 and d=424.
This code was found by Heurico 1.16 in 15.9 seconds.