The generator matrix

 1  0  1  1  1 14  1 12  1 10  1  1 10  1  1  1  4  1 12  1  1 10  1  1  1  1  1  1 10  1  4  1  4  1  0  1  0  2  0  1  2  1  2 10  1 12  1
 0  1  1  6  7  1  3  1  4  1 14  5  1  5  8  3  1 10  1  5  3  1  2  4 13  6  6  4  1 15  1  3  1 11  1 10  2  1  1  2 12 12  0  1  6  1  4
 0  0  2  0 14  8  0  2  6 10  2  4  6 10  4  4  8 12 14  8  6  0 10  2  4  0  4 10  4  0 14  0  8 14 10  2  2 12 12  4 10 12 14 14  8  2  2
 0  0  0 12  0 12  8  4  4  4  8  4  0 12  8  4  4 12  0  0  4  8  0  8  0  8  8 12 12  0 12  4 12  8  0  4 12  8  0 12  8 12  0  4  0  4  0
 0  0  0  0  8  0  0  8  8  0  8  0  8  8  8  8  8  8  0  8  0  8  8  0  0  8  0  0  8  8  0  0  0  8  8  0  0  8  8  0  8  0  0  0  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+112x^41+346x^42+730x^43+1401x^44+1796x^45+2705x^46+2480x^47+2603x^48+1768x^49+1215x^50+622x^51+333x^52+126x^53+79x^54+36x^55+11x^56+4x^57+7x^58+4x^59+2x^60+2x^61+1x^64

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 2.33 seconds.