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

generates a code of length 62 over GR(64,4) who´s minimum homogenous weight is 408.

Homogenous weight enumerator: w(x)=1x^0+392x^408+56x^413+812x^416+1176x^421+714x^424+8232x^429+609x^432+19208x^437+378x^440+329x^448+357x^456+217x^464+140x^472+112x^480+35x^488

The gray image is a code over GF(8) with n=496, k=5 and d=408.
This code was found by Heurico 1.16 in 0.65 seconds.