The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+72x^39+95x^40+348x^41+498x^42+720x^43+1199x^44+1728x^45+2312x^46+2464x^47+2379x^48+1736x^49+1171x^50+768x^51+377x^52+256x^53+95x^54+56x^55+40x^56+28x^57+15x^58+16x^59+4x^60+5x^62+1x^64

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 3.88 seconds.