The generator matrix

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

generates a code of length 52 over GR(16,4) who´s minimum homogenous weight is 149.

Homogenous weight enumerator: w(x)=1x^0+588x^149+204x^150+312x^151+96x^152+576x^153+240x^154+168x^155+90x^156+492x^157+168x^158+156x^159+27x^160+240x^161+84x^162+48x^163+24x^164+288x^165+36x^166+84x^167+12x^168+120x^169+36x^170+6x^172

The gray image is a code over GF(4) with n=208, k=6 and d=149.
This code was found by Heurico 1.16 in 4.23 seconds.