The generator matrix

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

generates a code of length 51 over Z16 who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+250x^49+222x^50+248x^51+124x^52+48x^53+32x^54+80x^55+3x^56+14x^57+1x^66+1x^74

The gray image is a code over GF(2) with n=408, k=10 and d=196.
This code was found by Heurico 1.16 in 9.61 seconds.