The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+97x^40+224x^41+608x^42+732x^43+1426x^44+1692x^45+2264x^46+2356x^47+2333x^48+1768x^49+1264x^50+692x^51+518x^52+188x^53+124x^54+28x^55+33x^56+24x^58+8x^60+4x^62

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 3.43 seconds.