The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+144x^38+200x^39+776x^40+1264x^41+2786x^42+4592x^43+8279x^44+8404x^45+12037x^46+9432x^47+8197x^48+4492x^49+2653x^50+1120x^51+709x^52+172x^53+159x^54+16x^55+85x^56+4x^57+13x^58+1x^64

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 31.6 seconds.