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  1 2a  1  1  0  1  1  1  1  2
 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 2a+2  1 2a+2  1  1  a  3  2 2a+3  1
 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 2a+3 2a 3a+2 a+1 3a+3 2a 3a+2  2 2a+3  0
 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 2a 2a 2a  2  0  0  2 2a 2a 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+432x^145+684x^146+300x^147+57x^148+1236x^149+1320x^150+456x^151+60x^152+1452x^153+1560x^154+588x^155+57x^156+1620x^157+1476x^158+420x^159+27x^160+1092x^161+1056x^162+408x^163+18x^164+840x^165+708x^166+132x^167+15x^168+240x^169+108x^170+9x^172+6x^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 1.77 seconds.