The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+36x^44+190x^45+470x^46+696x^47+941x^48+1210x^49+1297x^50+1158x^51+857x^52+624x^53+401x^54+182x^55+59x^56+20x^57+13x^58+10x^59+7x^60+2x^61+9x^62+2x^63+3x^64+2x^65+2x^66

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 0.689 seconds.