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  1  2 12  2 12  0  1  2  1  1 12  1  1  1  1  1  0  2  1  0  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 13  1  2  1  1  1 14  1 15 13  1  2  7  7  4  4  1  2  2  1  0
 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  6  2 12  8 14  6  0 12 12  6 12  8  6  4 14  6 14  2 10 14

generates a code of length 51 over Z16 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+214x^48+408x^49+399x^50+260x^51+267x^52+192x^53+143x^54+84x^55+41x^56+16x^57+16x^58+4x^60+1x^62+1x^66+1x^68

The gray image is a code over GF(2) with n=408, k=11 and d=192.
This code was found by Heurico 1.16 in 0.109 seconds.