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

generates a code of length 65 over GR(64,4) who´s minimum homogenous weight is 408.

Homogenous weight enumerator: w(x)=1x^0+266x^408+1456x^416+2240x^424+56x^427+3073x^432+1568x^435+3458x^440+16464x^443+3696x^448+76832x^451+4410x^456+134456x^459+4480x^464+3892x^472+3059x^480+1785x^488+721x^496+182x^504+42x^512+7x^520

The gray image is a code over GF(8) with n=520, k=6 and d=408.
This code was found by Heurico 1.16 in 41 seconds.