The generator matrix

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

generates a code of length 52 over GR(16,4) who´s minimum homogenous weight is 140.

Homogenous weight enumerator: w(x)=1x^0+51x^140+108x^142+168x^143+444x^144+240x^146+732x^147+831x^148+456x^150+876x^151+1275x^152+528x^154+1416x^155+1761x^156+876x^158+1776x^159+1761x^160+672x^162+924x^163+744x^164+192x^166+252x^167+165x^168+39x^172+39x^176+15x^180+24x^184+9x^188+3x^192+6x^196

The gray image is a code over GF(4) with n=208, k=7 and d=140.
This code was found by Heurico 1.16 in 1.15 seconds.