The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+66x^42+298x^43+638x^44+942x^45+1763x^46+2100x^47+3970x^48+4122x^49+5171x^50+3996x^51+3931x^52+2236x^53+1622x^54+856x^55+572x^56+244x^57+142x^58+42x^59+34x^60+6x^61+3x^62+4x^63+5x^64+2x^65+1x^66+1x^68

The gray image is a code over GF(2) with n=400, k=15 and d=168.
This code was found by Heurico 1.16 in 12.9 seconds.