The generator matrix

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

generates a code of length 59 over GR(64,4) who´s minimum homogenous weight is 384.

Homogenous weight enumerator: w(x)=1x^0+210x^384+56x^387+1400x^391+637x^392+1624x^394+3976x^395+6888x^399+735x^400+8568x^402+14616x^403+11256x^407+707x^408+31752x^410+44632x^411+22904x^415+448x^416+44072x^418+51408x^419+14896x^423+392x^424+399x^432+238x^440+175x^448+91x^456+56x^464+7x^472

The gray image is a code over GF(8) with n=472, k=6 and d=384.
This code was found by Heurico 1.16 in 14 seconds.