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

generates a code of length 63 over F8[X]/(X^2) who´s minimum homogenous weight is 415.

Homogenous weight enumerator: w(x)=1x^0+112x^415+609x^416+392x^417+2576x^420+224x^421+560x^422+616x^423+2387x^424+4312x^425+8176x^428+2016x^429+2800x^430+4200x^431+4907x^432+9800x^433+21392x^436+9632x^437+10640x^438+10808x^439+12075x^440+23240x^441+40656x^444+16800x^445+14672x^446+12936x^447+11571x^448+19600x^449+13216x^452+448x^456+308x^464+203x^472+147x^480+63x^488+49x^496

The gray image is a linear code over GF(8) with n=504, k=6 and d=415.
This code was found by Heurico 1.16 in 32 seconds.