The generator matrix

 1  0  0  1  1  1 10  1 10  1  1  1  2 12 14  1  6  1  1 12  1 12  1  1  1  8 10  4  1  1  1  1 14  1  1  1  1 14  1 10  1  4  1  1  1  8  6
 0  1  0  4  5  1  1  0  8 12  5  9  2  1  1 14  1 11 14  1 11  1 13  3  6  1  6  1  4  2 14  3 14 15  9  4 14  2  6  1 12  1 14  7 10 10  1
 0  0  1  7  3  4  3  6  1  9  5 10  1  6  1  1  6  6 12  3  7  0 12  5  3  1  1  7  4  4 15  3  1 14 14  0  6  1  1  8  9  5  8 11 11  1  8
 0  0  0  8  0  0  0  0  0  8  0  0  0  0  0  0  8  8  8  8  8  8  8  0  8  0  8  8  8  8  0  8  8  0  0  0  0  8  0  8  0  8  8  0  0  8  0
 0  0  0  0  8  0  0  0  0  0  0  8  8  8  8  8  8  8  0  8  0  0  0  8  8  0  0  8  8  8  0  0  0  8  0  8  0  8  0  8  0  0  0  0  8  8  8
 0  0  0  0  0  8  0  8  8  8  0  8  0  8  8  0  8  8  0  0  8  0  8  8  8  8  8  8  0  8  8  0  0  0  0  0  0  0  8  0  0  0  8  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+170x^41+709x^42+1292x^43+2707x^44+4322x^45+4949x^46+5030x^47+4597x^48+4028x^49+2695x^50+1312x^51+594x^52+170x^53+95x^54+46x^55+34x^56+14x^57+3x^60

The gray image is a code over GF(2) with n=376, k=15 and d=164.
This code was found by Heurico 1.16 in 6.7 seconds.