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

generates a code of length 35 over GR(64,4) who´s minimum homogenous weight is 208.

Homogenous weight enumerator: w(x)=1x^0+546x^208+1862x^216+2835x^224+4060x^232+5019x^240+229376x^245+6412x^248+6384x^256+4004x^264+1407x^272+238x^280

The gray image is a code over GF(8) with n=280, k=6 and d=208.
This code was found by Heurico 1.16 in 19.8 seconds.