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

generates a code of length 59 over GR(64,4) who´s minimum homogenous weight is 401.

Homogenous weight enumerator: w(x)=1x^0+336x^401+560x^402+2520x^403+6272x^405+329x^408+1120x^409+1120x^410+3024x^411+1792x^413+49x^416+2128x^417+1904x^418+5208x^419+6272x^421+98x^424+14x^432+21x^440

The gray image is a code over GF(8) with n=472, k=5 and d=401.
This code was found by Heurico 1.16 in 33.3 seconds.