The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+22x^40+94x^41+152x^42+388x^43+305x^44+1046x^45+1225x^46+2254x^47+3742x^48+4442x^49+5485x^50+4388x^51+3804x^52+2288x^53+1215x^54+1032x^55+250x^56+294x^57+98x^58+120x^59+57x^60+26x^61+15x^62+10x^63+9x^64+2x^65+1x^66+2x^68+1x^70

The gray image is a code over GF(2) with n=400, k=15 and d=160.
This code was found by Heurico 1.16 in 15.3 seconds.