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

generates a code of length 61 over GR(64,4) who´s minimum homogenous weight is 384.

Homogenous weight enumerator: w(x)=1x^0+616x^384+1820x^392+2716x^400+3367x^408+3584x^413+3745x^416+50176x^421+4179x^424+175616x^429+4536x^432+4354x^440+3570x^448+2415x^456+1050x^464+329x^472+70x^480

The gray image is a code over GF(8) with n=488, k=6 and d=384.
This code was found by Heurico 1.16 in 38.7 seconds.