The generator matrix

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

generates a code of length 63 over GR(64,4) who´s minimum homogenous weight is 416.

Homogenous weight enumerator: w(x)=1x^0+539x^416+56x^420+693x^424+1176x^428+777x^432+8232x^436+553x^440+19208x^444+469x^448+287x^456+301x^464+175x^472+133x^480+140x^488+28x^496

The gray image is a code over GF(8) with n=504, k=5 and d=416.
This code was found by Heurico 1.16 in 0.69 seconds.