The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  0  1  1  1  6  1  1 10  1 12  1  1  1  6  1  1  1  1  1  0  1 12 10  1  6  1  1  6  1  1  1  1  1  0  6  1  2  2
 0  1  3  6  5  1 12 15  1 10  9  1  1  0  3  5  1  6 15  1  9  1 12 10  5  1  0  6 10 12 15  1  9  1  1  6  1  0 14  1 10  6  5 12  3  1  1  9 12  0
 0  0  8  0  0  0  0  0  0  8  0  0  0  8  8  8  8  8  8  8  8  8  0  8  0  8  8  0  0  8  0  0  0  8  8  8  8  8  8  0  8  8  8  0  0  0  8  0  8  0
 0  0  0  8  0  0  0  8  0  8  8  0  8  8  0  8  8  8  0  8  0  0  0  0  8  8  0  0  8  8  8  8  0  8  0  8  8  0  0  8  0  8  8  0  0  0  8  8  0  8
 0  0  0  0  8  0  0  0  8  0  8  0  8  0  0  8  0  0  8  8  0  8  0  0  0  0  0  8  8  0  8  0  8  0  8  8  8  8  8  8  8  8  0  8  8  8  0  8  0  8
 0  0  0  0  0  8  0  8  8  0  8  0  0  0  0  0  8  8  8  8  8  0  8  8  8  8  8  0  8  8  0  0  8  8  8  8  0  0  8  8  8  0  0  8  0  0  0  0  0  8
 0  0  0  0  0  0  8  8  0  8  8  8  8  0  8  8  0  0  0  8  8  0  8  0  0  8  8  8  8  0  0  0  0  0  8  8  8  0  8  0  0  8  8  8  0  0  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+116x^44+128x^45+382x^46+672x^47+786x^48+1504x^49+1040x^50+1504x^51+788x^52+672x^53+350x^54+128x^55+90x^56+14x^58+6x^60+4x^62+3x^64+2x^66+2x^68

The gray image is a code over GF(2) with n=400, k=13 and d=176.
This code was found by Heurico 1.16 in 0.743 seconds.