The generator matrix

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

generates a code of length 50 over Z16 who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+74x^43+294x^44+550x^45+953x^46+1272x^47+1677x^48+2286x^49+2250x^50+2516x^51+1574x^52+1148x^53+811x^54+450x^55+254x^56+110x^57+89x^58+38x^59+24x^60+2x^61+8x^62+2x^63+1x^66

The gray image is a code over GF(2) with n=400, k=14 and d=172.
This code was found by Heurico 1.16 in 3.46 seconds.