The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  1  2  1  1  1  4  1  2  1  1  1  1  1  0  1  4  0  1  4  4  1  4  1  2  1
 0 12  0 12  0 12  0 12  0  4  8  0 12 12  4  0  8  0  8  0 12 12  0 12 12 12  0 12  8 12 12  4  0  4 12  4  4 12  4  4 12  0  8 12  8 12 12
 0  0  8  0  0  0  0  0  0  0  8  8  0  8  8  0  8  0  8  8  0  0  8  8  0  0  0  0  8  8  8  8  8  8  0  0  8  8  8  0  0  0  0  0  8  8  8
 0  0  0  8  0  0  0  0  0  8  0  0  0  8  8  0  0  8  8  8  0  8  8  0  8  0  0  8  8  0  8  0  8  8  8  0  0  0  0  8  0  0  0  0  8  0  8
 0  0  0  0  8  0  0  0  0  0  0  8  0  0  0  8  0  8  8  8  0  8  0  8  8  8  8  8  8  0  0  0  8  8  8  0  8  8  8  0  0  8  8  8  8  0  8
 0  0  0  0  0  8  0  0  0  0  0  0  8  8  8  0  0  0  0  0  0  8  0  8  8  0  8  0  8  8  0  8  8  0  8  0  0  8  8  8  0  8  8  0  8  8  8
 0  0  0  0  0  0  8  0  0  0  0  8  0  0  0  8  8  8  8  0  8  0  8  0  8  8  0  0  0  8  8  8  8  0  0  0  8  0  8  8  0  8  8  0  0  0  8
 0  0  0  0  0  0  0  8  0  8  0  0  8  8  0  8  8  8  0  0  8  8  0  8  0  0  0  0  0  0  8  8  8  8  0  0  8  8  8  0  0  8  0  8  8  0  0
 0  0  0  0  0  0  0  0  8  0  8  8  8  0  8  8  8  0  0  0  8  0  0  0  0  8  8  8  8  8  8  8  8  0  0  8  0  8  0  0  0  8  0  0  0  8  8

generates a code of length 47 over Z16 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+54x^38+28x^39+125x^40+110x^41+163x^42+328x^43+283x^44+1472x^45+420x^46+2288x^47+402x^48+1404x^49+282x^50+408x^51+154x^52+80x^53+79x^54+20x^55+45x^56+6x^57+19x^58+11x^60+6x^62+3x^64+1x^70

The gray image is a code over GF(2) with n=376, k=13 and d=152.
This code was found by Heurico 1.16 in 1.37 seconds.