The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  0  1  1  6  1  1 12  1 10  1  1  1  1  1  0  1  1 12  1  6  1  0  1  1 10  6  1  1  1  1  6  1  1 12  1
 0  1  3  6  5  1 12  7  1 10  9  1  1  0  5  1  6  3  1 15  1 12  9 10  3  0  1  6  5  1 10  1  5  1 12 15  1  1  9  9  0  6  1  6  3  2  3
 0  0  8  0  0  0  0  0  0  0  0  0  0  0  8  0  0  0  8  8  8  8  0  8  8  0  8  8  8  8  0  8  8  0  8  8  8  8  0  8  0  8  0  0  8  8  8
 0  0  0  8  0  0  0  0  0  0  0  0  0  8  0  8  0  8  0  0  8  8  8  8  0  0  8  8  0  0  8  8  0  8  8  0  8  8  8  8  0  0  0  8  0  0  8
 0  0  0  0  8  0  0  0  0  0  0  8  8  0  8  8  8  8  8  0  0  0  0  0  8  8  8  0  8  0  0  0  0  8  8  8  0  0  0  8  0  8  8  0  0  8  8
 0  0  0  0  0  8  0  0  0  0  8  8  8  0  8  0  0  8  8  8  0  8  0  8  0  8  8  0  0  8  8  0  8  0  0  0  8  0  8  0  0  8  0  0  0  8  0
 0  0  0  0  0  0  8  0  0  8  8  0  0  8  8  0  0  8  8  0  8  0  0  8  8  8  0  0  8  0  0  0  0  0  8  0  8  8  8  0  8  8  0  0  0  0  8
 0  0  0  0  0  0  0  8  0  8  0  0  0  0  0  0  8  8  0  8  0  8  8  8  8  8  8  0  0  8  0  0  0  8  0  8  8  8  8  0  0  8  0  8  8  0  8
 0  0  0  0  0  0  0  0  8  0  8  8  0  0  8  8  8  8  0  8  8  0  8  8  8  8  8  8  0  0  8  8  8  8  0  8  0  0  8  0  8  0  0  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+47x^38+54x^39+140x^40+224x^41+408x^42+1444x^43+2031x^44+4108x^45+5060x^46+5760x^47+5063x^48+4108x^49+2069x^50+1404x^51+382x^52+260x^53+71x^54+42x^55+42x^56+4x^57+18x^58+19x^60+6x^62+2x^64+1x^66

The gray image is a code over GF(2) with n=376, k=15 and d=152.
This code was found by Heurico 1.16 in 14.2 seconds.