The generator matrix

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

generates a code of length 53 over GR(16,4) who´s minimum homogenous weight is 145.

Homogenous weight enumerator: w(x)=1x^0+756x^145+576x^146+1560x^147+288x^148+2376x^149+1344x^150+2448x^151+696x^152+4200x^153+2124x^154+3996x^155+777x^156+6048x^157+2532x^158+4704x^159+972x^160+6516x^161+2880x^162+4896x^163+828x^164+5112x^165+1872x^166+3072x^167+405x^168+2256x^169+852x^170+780x^171+120x^172+384x^173+108x^174+48x^175+3x^176+3x^184+3x^188

The gray image is a code over GF(4) with n=212, k=8 and d=145.
This code was found by Heurico 1.16 in 673 seconds.