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

generates a code of length 50 over GR(16,4) who´s minimum homogenous weight is 128.

Homogenous weight enumerator: w(x)=1x^0+81x^128+294x^132+411x^136+48x^138+447x^140+576x^142+411x^144+2592x^146+447x^148+5184x^150+468x^152+3888x^154+381x^156+408x^160+309x^164+225x^168+132x^172+63x^176+6x^180+12x^184

The gray image is a code over GF(4) with n=200, k=7 and d=128.
This code was found by Heurico 1.16 in 2.11 seconds.