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

generates a code of length 51 over GR(16,4) who´s minimum homogenous weight is 149.

Homogenous weight enumerator: w(x)=1x^0+120x^149+288x^150+33x^152+192x^153+192x^154+24x^156+48x^157+72x^158+3x^160+24x^165+24x^166+3x^184

The gray image is a code over GF(4) with n=204, k=5 and d=149.
This code was found by Heurico 1.16 in 0.656 seconds.