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

generates a code of length 51 over GR(16,4) who´s minimum homogenous weight is 152.

Homogenous weight enumerator: w(x)=1x^0+36x^152+192x^153+18x^156+3x^160+6x^172

The gray image is a code over GF(4) with n=204, k=4 and d=152.
This code was found by Heurico 1.16 in 6.87e-008 seconds.