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

generates a code of length 67 over GR(64,4) who´s minimum homogenous weight is 460.

Homogenous weight enumerator: w(x)=1x^0+5880x^460+6272x^461+196x^464+3920x^468+1792x^469+273x^472+8120x^476+6272x^477+35x^480+7x^504

The gray image is a code over GF(8) with n=536, k=5 and d=460.
This code was found by Heurico 1.16 in 42.3 seconds.