The generator matrix

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

generates a code of length 50 over GR(16,4) who´s minimum homogenous weight is 146.

Homogenous weight enumerator: w(x)=1x^0+180x^146+204x^147+21x^148+288x^150+96x^151+36x^152+72x^154+72x^155+3x^160+36x^162+12x^163+3x^180

The gray image is a code over GF(4) with n=200, k=5 and d=146.
This code was found by Heurico 1.16 in 0.437 seconds.