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

generates a code of length 34 over GR(64,4) who´s minimum homogenous weight is 200.

Homogenous weight enumerator: w(x)=1x^0+357x^200+1722x^208+2639x^216+3724x^224+5215x^232+229376x^238+6370x^240+6545x^248+4319x^256+1596x^264+280x^272

The gray image is a code over GF(8) with n=272, k=6 and d=200.
This code was found by Heurico 1.16 in 19.1 seconds.