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  1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  1  1  4  1  2  1  2  4  1  1  2  2
 0 12  0  4  0  0  4  4  8  8  4 12 12 12  0  8  0  4  8  4 12  0  0  4  4  4  0  8  8  0  4 12  0  0  8  0  8  0 12 12  0  8  8  4  4  0  4  8  4  4
 0  0 12  4  0 12 12  0  8  4  4  0  8  4  8 12  0 12 12  8  0  4  0  4  8  8  0  0  4  4  4  4  0  8  4 12 12 12 12  4 12  8  4 12  4 12 12 12  4  4
 0  0  0  8  0  0  8  0  0  0  0  8  8  0  8  8  8  8  8  8  0  8  8  0  0  8  0  8  8  0  8  0  0  0  0  0  0  8  0  0  8  8  0  0  8  0  0  8  8  0
 0  0  0  0  8  0  0  0  0  8  8  0  8  0  8  8  0  8  0  0  8  8  8  8  8  8  8  0  0  8  8  0  0  0  0  8  0  8  8  8  0  0  0  8  0  8  0  8  8  0
 0  0  0  0  0  8  8  8  8  8  8  8  8  8  0  0  0  8  8  0  8  8  8  0  0  0  8  8  0  0  0  0  8  8  0  0  0  8  0  0  0  8  0  8  0  8  0  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+28x^44+66x^45+62x^46+74x^47+231x^48+134x^49+904x^50+110x^51+225x^52+70x^53+48x^54+38x^55+24x^56+10x^57+8x^58+2x^59+2x^60+8x^61+2x^62+1x^84

The gray image is a code over GF(2) with n=400, k=11 and d=176.
This code was found by Heurico 1.16 in 0.156 seconds.