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

generates a code of length 72 over GR(16,4) who´s minimum homogenous weight is 200.

Homogenous weight enumerator: w(x)=1x^0+75x^200+168x^204+48x^207+162x^208+432x^211+162x^212+1296x^215+105x^216+1296x^219+87x^220+54x^224+42x^228+54x^232+30x^236+21x^240+24x^244+21x^248+9x^252+3x^260+3x^264+3x^276

The gray image is a code over GF(4) with n=288, k=6 and d=200.
This code was found by Heurico 1.16 in 0.257 seconds.