The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  1  2  1  0  1  1  1  2  2  1  2  1  0  1 12  0  1  1  2  1  8  1  1  1  1
 0  2  0  2  0  0  6 14  4  4 10  6  8  2 12  2 12 12 14 14  0  4  8  2 12  6 10  2  2  2  6 14  8 14  8 12 14  2  2  2  2 10  6  8  8  2  4 10  2  2
 0  0  2  2 12  6  6  4  4  2  6  0  0  6 14  4  0  8  2 10  8  2  6 10  6  6  0 12  8 12  2  0 14 12  2 10 14  8  2  8 14  0 12 14 10 14  6  2  8  2
 0  0  0  8  0  0  8  0  0  0  8  0  0  8  0  0  8  8  0  0  8  8  8  8  8  0  8  8  0  8  0  8  8  8  8  8  8  0  0  8  8  8  8  0  8  8  8  8  8  0
 0  0  0  0  8  0  8  0  8  8  0  8  0  8  8  8  8  8  0  8  0  0  8  0  0  8  0  0  0  0  0  8  8  8  8  8  0  8  8  0  8  0  0  8  0  8  8  8  8  0
 0  0  0  0  0  8  0  8  8  0  8  8  8  8  8  0  0  8  0  0  8  8  0  0  0  8  0  8  8  0  8  8  8  0  0  0  0  8  0  8  8  8  0  0  8  0  8  8  0  8

generates a code of length 50 over Z16 who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+137x^44+192x^45+465x^46+580x^47+895x^48+1256x^49+1281x^50+1400x^51+760x^52+436x^53+305x^54+196x^55+164x^56+32x^57+55x^58+26x^60+4x^61+6x^62+1x^76

The gray image is a code over GF(2) with n=400, k=13 and d=176.
This code was found by Heurico 1.16 in 1.11 seconds.