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

generates a code of length 74 over GR(16,4) who´s minimum homogenous weight is 200.

Homogenous weight enumerator: w(x)=1x^0+225x^200+357x^204+438x^208+48x^210+408x^212+576x^214+387x^216+2592x^218+393x^220+5184x^222+330x^224+3888x^226+354x^228+300x^232+243x^236+237x^240+162x^244+111x^248+75x^252+42x^256+24x^260+6x^264+3x^280

The gray image is a code over GF(4) with n=296, k=7 and d=200.
This code was found by Heurico 1.16 in 3.47 seconds.