The generator matrix

 1  0  1  1  1  4  1  1  0  1  1  0  1  1  2  1  1 10 10  1  1 10  1  1 12  1  1  1  1  6  4  1  1  1  1  1  2  1  1 12  1  0  2  1  2  1  2  0  2  1
 0  1  1  0 11  1  1  0  1 10  3  1 14  1  1  7  8  1  1 11 10  1 11  6  1  7 14  0  4  1  1  9  4 15  6 12  4  8  7  1  3  1  2  5  4 12  4  1  8  0
 0  0  2  0  0  8 10  2  2  2  4 14  0  8  2  6 14  4 10 10  0  4 12 14  0  6  8 10 14  8  2 10 14  4  6  4  4  4 12 10  4  0 14  2  6 12  2 14  6  0
 0  0  0  2  0 10 14 14  6  8 14 12 12  6  2  4  0 10  8  2  2  0  8 14 14  0 12  4  0 10  4 10 10  2 12 14 14  2 14  2 12 12  2 14  8  2  0 14  8  0
 0  0  0  0 12  0  0 12 12  4  4  4  8  4  4  8 12  8 12 12 12  4  8  8 12  4 12  4  0 12  0  0  8  0  0  0  4  4  0  4  4  8  0  8  0  8  4  8 12  0

generates a code of length 50 over Z16 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+108x^42+370x^43+825x^44+1782x^45+3000x^46+4794x^47+7484x^48+9280x^49+10011x^50+9586x^51+7565x^52+5138x^53+2735x^54+1386x^55+847x^56+358x^57+133x^58+52x^59+46x^60+16x^61+13x^62+4x^63+2x^65

The gray image is a code over GF(2) with n=400, k=16 and d=168.
This code was found by Heurico 1.16 in 34.5 seconds.