The generator matrix

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

generates a code of length 65 over GR(64,4) who´s minimum homogenous weight is 446.

Homogenous weight enumerator: w(x)=1x^0+8232x^446+3136x^447+98x^448+5488x^454+896x^455+357x^456+11368x^462+3136x^463+49x^464+7x^504

The gray image is a code over GF(8) with n=520, k=5 and d=446.
This code was found by Heurico 1.16 in 12.8 seconds.