The generator matrix

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

generates a code of length 61 over GR(64,4) who´s minimum homogenous weight is 416.

Homogenous weight enumerator: w(x)=1x^0+630x^416+3304x^417+6272x^419+1393x^424+4144x^425+1792x^427+1967x^432+6888x^433+6272x^435+77x^440+14x^448+14x^456

The gray image is a code over GF(8) with n=488, k=5 and d=416.
This code was found by Heurico 1.16 in 0.237 seconds.