The generator matrix

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

generates a code of length 50 over Z16 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+118x^45+431x^46+798x^47+1121x^48+1242x^49+1115x^50+1076x^51+1038x^52+630x^53+270x^54+188x^55+80x^56+42x^57+23x^58+11x^60+1x^62+2x^63+4x^64+1x^68

The gray image is a code over GF(2) with n=400, k=13 and d=180.
This code was found by Heurico 1.16 in 0.737 seconds.