The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+366x^44+1670x^45+3412x^46+5604x^47+7532x^48+8904x^49+10431x^50+9360x^51+7872x^52+5356x^53+2762x^54+1372x^55+545x^56+224x^57+75x^58+16x^59+20x^60+6x^61+8x^62

The gray image is a code over GF(2) with n=400, k=16 and d=176.
This code was found by Heurico 1.16 in 29.2 seconds.