The generator matrix

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

generates a code of length 52 over GR(16,4) who´s minimum homogenous weight is 148.

Homogenous weight enumerator: w(x)=1x^0+678x^148+1119x^152+813x^156+717x^160+540x^164+210x^168+9x^172+6x^176+3x^184

The gray image is a code over GF(4) with n=208, k=6 and d=148.
This code was found by Heurico 1.16 in 0.0845 seconds.