The generator matrix

 1  0  1  1  4  1 10  1  1  1  1  6 10  1  1  1  1  4  1  1  8  1  1 10  1  1  4  0  1  1  1  1  1  1  4  2  1 14  1 12  4  1
 0  1  1  6  1  7  1  4 15  2  5  1  1  8  3 14 13  1 10  9  1  4 11  1  8  7  1  2  1 13  3  8 13 14  1  4  1  1 10  1  2 12
 0  0  2  0 10  2  6 10  8 10  8  0 10 14  6 14  6  6  0  8  4 12 12  0  4  4 12 14  4  4  0  2  2  4  2 10  4  2 10  8  2  0
 0  0  0  8  0  8  8  8  8  0  0  8  8  8  8  0  0  0  0  8  8  8  0  0  0  8  0  8  8  0  0  0  8  8  8  0  0  0  8  0  0  0

generates a code of length 42 over Z16 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+142x^38+398x^39+594x^40+672x^41+742x^42+552x^43+435x^44+284x^45+145x^46+46x^47+41x^48+28x^49+10x^50+4x^51+1x^52+1x^54

The gray image is a code over GF(2) with n=336, k=12 and d=152.
This code was found by Heurico 1.16 in 0.189 seconds.