The generator matrix

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

generates a code of length 52 over GR(16,4) who´s minimum homogenous weight is 152.

Homogenous weight enumerator: w(x)=1x^0+126x^152+168x^153+108x^154+213x^156+180x^157+72x^158+90x^160+12x^162+36x^165+12x^168+3x^172+3x^192

The gray image is a code over GF(4) with n=208, k=5 and d=152.
This code was found by Heurico 1.16 in 0.016 seconds.