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

generates a code of length 47 over GR(16,4) who´s minimum homogenous weight is 136.

Homogenous weight enumerator: w(x)=1x^0+63x^136+360x^138+90x^140+324x^142+60x^144+30x^148+84x^150+9x^152+3x^160

The gray image is a code over GF(4) with n=188, k=5 and d=136.
This code was found by Heurico 1.16 in 0.016 seconds.