The generator matrix

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

generates a code of length 67 over GR(64,4) who´s minimum homogenous weight is 440.

Homogenous weight enumerator: w(x)=1x^0+203x^440+714x^448+749x^456+3584x^462+707x^464+25088x^470+399x^472+357x^480+329x^488+224x^496+210x^504+98x^512+70x^520+35x^528

The gray image is a code over GF(8) with n=536, k=5 and d=440.
This code was found by Heurico 1.16 in 0.722 seconds.