The generator matrix

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

generates a code of length 53 over GR(16,4) who´s minimum homogenous weight is 148.

Homogenous weight enumerator: w(x)=1x^0+447x^148+528x^149+432x^150+1269x^152+1248x^153+648x^154+1803x^156+1428x^157+660x^158+1194x^160+1284x^161+672x^162+1344x^164+972x^165+408x^166+801x^168+588x^169+216x^170+282x^172+96x^173+36x^174+9x^176+9x^180+6x^184+3x^188

The gray image is a code over GF(4) with n=212, k=7 and d=148.
This code was found by Heurico 1.16 in 0.75 seconds.