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

generates a code of length 62 over GR(64,4) who´s minimum homogenous weight is 417.

Homogenous weight enumerator: w(x)=1x^0+2464x^417+9520x^418+1848x^419+560x^423+42x^424+17304x^425+40264x^426+6664x^427+1120x^431+308x^432+23856x^433+52192x^434+5320x^435+1904x^439+147x^440+31640x^441+59304x^442+7672x^443+7x^456+7x^496

The gray image is a code over GF(8) with n=496, k=6 and d=417.
This code was found by Heurico 1.16 in 12.2 seconds.