The generator matrix

 1  0  1  1  1  1  1  1  1  0  1  1  1  0  1  1  1  1  1  2  1  1 2a  1  1  1  1  1  0  1  1 2a  1  1  1  1 2a+2  1  1  1 2a+2  1  1  1  1  1  1  2 2a 2a  1  1  1  1  1  2  1  1  1  1  1  1  1  1  1  1  1  1  2 2a  1  1
 0  1  1  a 3a+3  0 2a+3 a+1  a  1  0 2a+3  a  1 a+1  2 a+1 a+2 2a+3  1 a+1  a  1  0 3a a+3 2a+3 2a+1  1 2a+2 2a+1  1 a+2  0 2a+1 a+3  1 3a 2a+1 2a+1  1 3a+1 3a+3  3 2a+2 3a+1 3a+1  1  1  1  3 a+3 2a+3  2 2a  1 a+2  1 3a+3 3a 3a+2 2a+2  2 2a+3  2  2 2a+2 a+3  1  1 a+3  0
 0  0 2a+2  0  0  0  2  2  2  2  2  2 2a+2 2a+2 2a  2 2a 2a+2 2a+2  0 2a+2 2a+2 2a 2a+2 2a  0 2a  2  2 2a+2 2a 2a+2  0 2a+2  0 2a 2a 2a  2 2a 2a+2 2a+2  2  2  2 2a+2  2  0  2  2 2a 2a 2a 2a 2a 2a+2  2  0  0  2  0  0 2a+2  0 2a  2  0 2a+2 2a  2  0  0
 0  0  0  2  0  2 2a+2  0  2 2a+2  2  0 2a 2a+2  0 2a+2  0  0 2a 2a  2  2 2a+2 2a+2  0 2a 2a  0 2a+2  2  2 2a  2  2  2  0 2a+2  2  0  2  2 2a 2a  2  0 2a+2  2 2a 2a  0 2a 2a  0 2a  2 2a 2a+2 2a  0 2a 2a+2 2a  0 2a  0  2 2a 2a 2a  0 2a+2  0
 0  0  0  0 2a+2 2a+2  2 2a+2 2a  0 2a+2  2  2 2a  2 2a 2a  2 2a+2 2a+2  0 2a+2 2a+2  2  0 2a+2  0 2a+2 2a+2 2a  2  2 2a  2  2 2a+2  0 2a 2a  0 2a  0  2  2 2a 2a 2a+2  0  2  0 2a 2a 2a 2a+2  2 2a  2  2  0 2a  0 2a+2 2a 2a  0  0  2 2a+2 2a 2a 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+162x^200+552x^203+405x^204+1524x^207+603x^208+2004x^211+555x^212+2424x^215+666x^216+2736x^219+777x^220+2244x^223+429x^224+660x^227+303x^228+144x^231+63x^232+39x^236+36x^240+15x^244+21x^248+15x^252+3x^256+3x^260

The gray image is a code over GF(4) with n=288, k=7 and d=200.
This code was found by Heurico 1.16 in 1.64 seconds.