The generator matrix

 1  0  1  1  1 10  1  1 14  1  1  6  1  0  1 12  1  1  1  2  1  1  4  1  1  1 12  1  1  1  1  1  1  1  1  1  4  1  4  8  1  1  1  4  1 14  1
 0  1  1  0  3  1  8 11  1 10  3  1  1  1  4  1  1  0  3  1  2 10  1  3 12  9  1 11  8  2 13  7  8  0  6 13  8 10  1  2 12 15  7  1  3  1  0
 0  0  2  0 14  8  2 12  2 14  4  6 10 10 14 14  8  6 14  8  8 12  4 12  8  6  8 10 10  2  4 14  4 12  0  4  2  6  2  4  4  4  0  6  8  2  8
 0  0  0  2 14 14  6  0 14  8  2  0 14  2 12  8 10  2  4  0  8 14 14 12 12 12  4 10 12  8  8 10 10  8  2 14  4 14 12  2 12  6  6  4 12  0  8

generates a code of length 47 over Z16 who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+64x^41+389x^42+740x^43+1291x^44+1902x^45+2775x^46+2402x^47+2557x^48+1812x^49+1331x^50+568x^51+259x^52+150x^53+71x^54+34x^55+20x^56+8x^57+9x^58+1x^66

The gray image is a code over GF(2) with n=376, k=14 and d=164.
This code was found by Heurico 1.16 in 2.16 seconds.