The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  1  1  1  1  1  8  2  1  1  0  2  1  1  1  1  1  1  1  4  1  0  1  1  2  0  1
 0  2  0  6  0  6  8  2  4  6  4 10 14  2  0  8  6 12  2  6  2  0  0 12  2  6  2 10  0  6  2 14 10  0  2 14  4  2 10  0 14  2 10 10  6  2 12
 0  0 12  0  0  0 12  0 12  0  4  8  0  8  8  0  4 12  4  8  0  4 12 12  4 12 12  8  8  4 12  8 12  0  4  0  0  4  4  0  8  8  0  0  0 12  4
 0  0  0 12  0  0  0  4  8  4  8 12  8  8 12 12  0  4  0  4  4  4 12 12 12 12  4 12  0  8  8  8 12  4  0  0  0  8 12  4 12  8  8  4 12  0  4
 0  0  0  0 12  0  4  8  0  4  4 12 12 12  4  0 12 12  8 12  4  4  8  0  4  8  4 12  0  8 12 12  0 12 12 12 12  0  4 12  0  8  4  4  4 12  0
 0  0  0  0  0  8  0  8  8  0  8  8  8  0  8  8  0  0  8  0  8  8  0  8  8  0  8  0  8  0  8  8  8  0  8  0  0  0  0  8  8  8  8  8  8  8  8

generates a code of length 47 over Z16 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+44x^39+133x^40+258x^41+413x^42+520x^43+1125x^44+1740x^45+2436x^46+3142x^47+2425x^48+1692x^49+1158x^50+482x^51+358x^52+224x^53+80x^54+62x^55+53x^56+18x^57+8x^58+6x^59+1x^60+4x^61+1x^74

The gray image is a code over GF(2) with n=376, k=14 and d=156.
This code was found by Heurico 1.16 in 3.85 seconds.