The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+211x^38+564x^39+1187x^40+1644x^41+2906x^42+4476x^43+7238x^44+9684x^45+9742x^46+9644x^47+7214x^48+4660x^49+2969x^50+1604x^51+995x^52+396x^53+224x^54+96x^55+58x^56+9x^58+11x^60+3x^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 45.1 seconds.