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

generates a code of length 60 over GR(64,4) who´s minimum homogenous weight is 376.

Homogenous weight enumerator: w(x)=1x^0+420x^376+1757x^384+2450x^392+5033x^400+20020x^408+81347x^416+138838x^424+4263x^432+3892x^440+2471x^448+1204x^456+392x^464+56x^472

The gray image is a code over GF(8) with n=480, k=6 and d=376.
This code was found by Heurico 1.16 in 37.6 seconds.