The generator matrix

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

generates a code of length 61 over GR(64,4) who´s minimum homogenous weight is 410.

Homogenous weight enumerator: w(x)=1x^0+3528x^410+8120x^411+1848x^412+336x^415+35x^416+22344x^418+35000x^419+4704x^420+1120x^423+266x^424+32536x^426+45416x^427+5208x^428+2128x^431+196x^432+41944x^434+51240x^435+6160x^436+7x^456+7x^488

The gray image is a code over GF(8) with n=488, k=6 and d=410.
This code was found by Heurico 1.16 in 11.9 seconds.