The generator matrix

 1  0  1  1  1  8  1  1 14  1  6  1 14  1  1  1  1  8  1  1  6  1  1  2  4  1  1  0  1  1  2 12  1  2  8  2  0  1  1 12  1  2  1  1  1  1  1  1 12 12  1  1
 0  1  1  4  3  1  2  9  1  6  1  7  1  6  7  0  9  1 12 11  1 10  1  1  1 10 11  1 12 13  1  2 13  1  1  1  1  4 14  1  3 12 10 14  8 14  0 14  1  1 13  3
 0  0  2 10  8 10 10  8 10  0  0  2 12 12 14 12 14  4  6  4  6 14 12  2 10  0  2 12  8 10  6  2  6 12  6  8 14  4  2  0 14 10  2  4  2 14 10  6 14  6 12  8

generates a code of length 52 over Z16 who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+256x^49+418x^50+316x^51+291x^52+220x^53+244x^54+156x^55+24x^56+68x^57+42x^58+8x^59+1x^60+2x^64+1x^72

The gray image is a code over GF(2) with n=416, k=11 and d=196.
This code was found by Heurico 1.16 in 0.105 seconds.