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

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

Homogenous weight enumerator: w(x)=1x^0+137x^38+574x^39+1006x^40+1960x^41+3001x^42+4366x^43+7011x^44+9090x^45+10929x^46+9402x^47+7249x^48+4576x^49+2835x^50+1698x^51+837x^52+474x^53+211x^54+104x^55+54x^56+12x^57+6x^58+2x^60+1x^62

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 43.6 seconds.