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

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

Homogenous weight enumerator: w(x)=1x^0+924x^142+852x^143+246x^144+3540x^146+2544x^147+492x^148+5556x^150+4620x^151+885x^152+7680x^154+5112x^155+816x^156+8796x^158+5964x^159+858x^160+6540x^162+4128x^163+642x^164+3348x^166+1236x^167+135x^168+480x^170+120x^171+12x^172+3x^176+6x^180

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 48.7 seconds.