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

generates a code of length 62 over GR(64,4) who´s minimum homogenous weight is 392.

Homogenous weight enumerator: w(x)=1x^0+826x^392+1869x^400+2905x^408+3556x^416+3584x^420+3591x^424+50176x^428+4466x^432+175616x^436+4347x^440+4067x^448+3563x^456+2149x^464+1092x^472+308x^480+28x^488

The gray image is a code over GF(8) with n=496, k=6 and d=392.
This code was found by Heurico 1.16 in 39 seconds.