The generator matrix

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

generates a code of length 52 over GR(16,4) who´s minimum homogenous weight is 142.

Homogenous weight enumerator: w(x)=1x^0+888x^142+948x^143+171x^144+3492x^146+2748x^147+654x^148+5508x^150+4176x^151+765x^152+7692x^154+5400x^155+804x^156+8856x^158+5604x^159+993x^160+6996x^162+4188x^163+540x^164+2988x^166+1368x^167+144x^168+444x^170+144x^171+12x^172+3x^176+6x^180+3x^184

The gray image is a code over GF(4) with n=208, k=8 and d=142.
This code was found by Heurico 1.16 in 15.2 seconds.