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

generates a code of length 66 over GR(64,4) who´s minimum homogenous weight is 416.

Homogenous weight enumerator: w(x)=1x^0+350x^416+1680x^424+2177x^432+3248x^440+7168x^448+54103x^456+179984x^464+4249x^472+3731x^480+2877x^488+1568x^496+791x^504+182x^512+28x^520+7x^528

The gray image is a code over GF(8) with n=528, k=6 and d=416.
This code was found by Heurico 1.16 in 42 seconds.