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  2  1  1  1  1  1  1  1  1  1  1  1 2a 2a  1  1  1  1  1  1  1  1  1 2a+2  1 2a  1  1  1 2a^2+2a+2 2a+2  1  1  1 2a^2+2a  1  1  1  1  1
 0  1  1  a 3a^2+2 2a^2+3a+1 a^2+3a a^2+3a+3 3a^2+2a+3  a 3a^2+2 a^2+3a  1  0 2a^2+3a+1 3a^2+2a+3 2a^2+3 a^2+3a+3 3a^2+2 3a^2+2a+3 2a^2+3a+1  1 a^2+3a  1 a^2+3a+3 2a^2+3a+3 a^2+3a+1 3a^2+2a+2 a^2+3a+1 a^2+a  2 3a^2+2a 2a^2+3a+3 2a^2+3a+3  0  1  1 a^2+a 3a^2+3a+3 2a^2+3a+1 3a^2+3a 2a 2a+2 a^2+3a+1 2a^2+a+1 3a^2+3  1  a  1 3a^2+a+3 a+1 2a^2  1  1 2a^2+3a+3 2a^2+3 a^2+3  1 2a^2+3 3a+3  2 3a^2+a 3a^2+2a+3
 0  0 2a^2+2  0  2  2 2a+2  2 2a^2 2a+2 2a^2+2 2a^2  2 2a^2+2a 2a^2+2a+2  0 2a^2+2a  2 2a 2a^2+2a+2 2a^2+2a+2 2a^2+2a  2 2a^2+2a+2  0 2a 2a 2a 2a^2+2a+2 2a^2+2a 2a^2 2a^2 2a^2+2a+2  2 2a^2+2a+2 2a^2+2 2a+2  2 2a+2 2a^2+2 2a^2+2 2a^2+2a 2a 2a+2 2a 2a^2+2a+2 2a^2+2 2a^2+2 2a+2 2a^2 2a^2+2a+2  2 2a^2+2a+2 2a^2+2  2 2a^2+2a+2 2a^2+2 2a^2 2a^2+2a  2 2a^2+2 2a^2+2 2a^2+2a+2
 0  0  0  2 2a^2+2 2a^2+2a+2 2a+2 2a^2 2a^2+2a+2 2a^2+2 2a^2+2 2a^2+2 2a^2+2a+2 2a+2 2a+2 2a^2 2a^2+2a+2 2a 2a^2 2a^2 2a^2+2a 2a  2  2 2a^2+2  2 2a^2+2 2a+2 2a^2  2 2a 2a+2  2 2a 2a 2a^2 2a 2a^2+2  0 2a 2a^2 2a^2 2a+2  2 2a 2a+2 2a^2+2  2 2a^2 2a^2+2a 2a^2+2 2a^2+2a+2 2a^2+2a+2 2a 2a^2+2 2a 2a^2+2a+2 2a^2+2  0 2a+2  0 2a^2+2 2a

generates a code of length 63 over GR(64,4) 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 code over GF(8) with n=504, k=6 and d=415.
This code was found by Heurico 1.16 in 30.7 seconds.