The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  4  2  4  0  2  1  2  1  4  4  4  4  1  1
 0 12  0  0  0  0  0  0  0 12  4 12 12  8  8  0 12 12  4 12  4  8 12 12  8  4 12  4  0  8  0 12  4  0  0  4  8  8  8  0 12 12  8 12  4 12  4
 0  0 12  0  0  0  4 12  4  4  4  8  0  8 12  8  0  0  8  4 12  4  4  8  4  8 12 12  4  0  0  0  4 12 12  4  4  4  0  0 12  4 12 12  0  0  4
 0  0  0 12  0  4  4  4  8  4  0 12  4  8  8  0  4  8  8  0 12  0  8 12 12  8  0 12 12  4 12  8  8 12 12 12 12  0  0  4  8 12  8  8  8 12  0
 0  0  0  0 12  4  0  4  4  8  0  8 12  0  8 12  8  8  4  0  8  8  4  4 12 12 12 12  8  8  4  0  8 12 12  4 12  8  0 12 12  8  4 12 12 12  0
 0  0  0  0  0  8  0  0  8  0  8  8  8  8  8  8  0  8  8  8  8  0  8  8  8  0  0  8  8  8  8  8  0  8  0  0  8  8  8  8  8  8  0  0  0  8  0
 0  0  0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  0  8  0  0  8  8  0  8  8  8  0  8  8  0  0  0  8  8  0  8  8

generates a code of length 47 over Z16 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+118x^38+363x^40+36x^41+615x^42+184x^43+1952x^44+476x^45+4014x^46+656x^47+4404x^48+476x^49+1831x^50+184x^51+575x^52+36x^53+275x^54+119x^56+54x^58+5x^60+5x^62+4x^64+1x^72

The gray image is a code over GF(2) with n=376, k=14 and d=152.
This code was found by Heurico 1.16 in 4.77 seconds.