The generator matrix

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

generates a code of length 52 over GR(16,4) who´s minimum homogenous weight is 145.

Homogenous weight enumerator: w(x)=1x^0+480x^145+720x^146+264x^147+51x^148+1032x^149+1248x^150+576x^151+69x^152+1704x^153+1692x^154+432x^155+51x^156+1488x^157+1248x^158+528x^159+18x^160+1200x^161+1272x^162+360x^163+36x^164+744x^165+576x^166+144x^167+18x^168+264x^169+156x^170+3x^172+3x^176+3x^180+3x^184

The gray image is a code over GF(4) with n=208, k=7 and d=145.
This code was found by Heurico 1.16 in 1.39 seconds.