The generator matrix

 1  0  1  1  1  1  1  1  1  2  1  1  1  1 2a  1  1  1  1 2a+2  1  1  1  1  0  1  1  1  1  2  1  1  1  1 2a  1  1  1  1 2a+2  1  1  1  1  1  1  1  1  1  1
 0  1 2a+3  a a+1  2 2a+1 a+2 a+3  1 2a  3 3a 3a+1  1 2a+2  1 3a+2 3a+3  1  0 2a+3  a a+1  1  2 2a+1 a+2 a+3  1 2a  3 3a 3a+1  1 2a+2  1 3a+2 3a+3  1  0  2 2a+3 2a+1 2a  3  a a+2 3a 2a+2

generates a code of length 50 over GR(16,4) who´s minimum homogenous weight is 149.

Homogenous weight enumerator: w(x)=1x^0+72x^149+144x^150+3x^152+24x^153+6x^156+6x^168

The gray image is a code over GF(4) with n=200, k=4 and d=149.
This code was found by Heurico 1.16 in 0.016 seconds.