The generator matrix

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

generates a code of length 47 over Z16 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+138x^40+224x^41+528x^42+736x^43+1364x^44+1584x^45+2628x^46+2152x^47+2631x^48+1544x^49+1268x^50+656x^51+460x^52+224x^53+108x^54+40x^55+68x^56+8x^57+12x^58+8x^60+2x^64

The gray image is a code over GF(2) with n=376, k=14 and d=160.
This code was found by Heurico 1.16 in 3.4 seconds.