The generator matrix

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

generates a code of length 50 over Z16 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+73x^40+160x^41+438x^42+626x^43+1224x^44+1828x^45+3568x^46+4240x^47+7975x^48+7358x^49+10436x^50+7642x^51+7812x^52+4372x^53+3629x^54+1674x^55+1163x^56+578x^57+398x^58+148x^59+116x^60+38x^61+26x^62+6x^63+4x^64+2x^69+1x^70

The gray image is a code over GF(2) with n=400, k=16 and d=160.
This code was found by Heurico 1.16 in 52.1 seconds.