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

generates a code of length 77 over GR(16,4) who´s minimum homogenous weight is 208.

Homogenous weight enumerator: w(x)=1x^0+156x^208+345x^212+411x^216+48x^219+387x^220+576x^223+468x^224+2592x^227+420x^228+5184x^231+282x^232+3888x^235+306x^236+324x^240+297x^244+210x^248+159x^252+156x^256+51x^260+57x^264+48x^268+15x^272+3x^292

The gray image is a code over GF(4) with n=308, k=7 and d=208.
This code was found by Heurico 1.16 in 3.61 seconds.