The generator matrix

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

generates a code of length 46 over Z16 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+72x^38+382x^39+827x^40+1422x^41+2989x^42+4656x^43+7779x^44+8868x^45+11368x^46+8934x^47+8185x^48+4702x^49+2686x^50+1428x^51+704x^52+264x^53+160x^54+56x^55+35x^56+8x^57+5x^58+5x^60

The gray image is a code over GF(2) with n=368, k=16 and d=152.
This code was found by Heurico 1.16 in 30.5 seconds.