The generator matrix

 1  0  1  1  1 14  1  1 12  1  1  2  1  1  8  1  1  6  1  1 12  6  1  1  0  2  0  6  4 12  6 14  1  1  1  1  1  1  1  1  1  1  1  1  4  8  1  1  0  1  1
 0  1 11 14  5  1  7 12  1  2  9  1  8  3  1  6 13  1 15 10  1  1  4  1  1  1  1  1  1  1  1  1  0  0 14  2 12 12 14  2  6  6  0 12  8  1 15  9  1 13 11
 0  0 12  4  8 12 12  0  0  4  8 12  4  8 12  0 12  0  8  0  0  4  4 12  0  4 12  8  4  4  0  8  0  4 12  8  4  0  8 12  0  4  8 12  8  4  8  0  4 12  4
 0  0  0  8  0  8  8  8  8  0  8  0  0  8  0  0  0  8  0  8  0  8  8  8  8  0  8  0  0  8  0  8  8  8  0  0  0  0  8  8  8  0  0  0  0  0  8  8  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+260x^48+416x^49+334x^50+160x^51+274x^52+352x^53+108x^54+96x^55+34x^56+6x^58+1x^60+5x^64+1x^76

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 0.657 seconds.