The generator matrix

 1  0  1  1  1 14  1  1  0 14  1  1  1  1  0  1  1 14  1  1  6  6  4  1  1  1  1 12  1 12  8  1  1  0  1  1  8  1  0  1  1  1  1  1  8  1  1
 0  1 11  6  1  1  8  3  1  1 14  9  0  3  1 14 11  1  9  6  1  1  1  5  2 15 11  1  2  1  1  1 11  1  0  6  1  8  1  1  2  9 11  6  1 13  0
 0  0 12  0  0  0  0  8 12  4  4  4 12 12 12 12 12 12  8  8  0  8  4  4  4  8  4  8  8 12  8  0  4 12 12 12 12  4 12  4  4  0  4  4  0  4  0
 0  0  0 12  0  0  8  8  8  8  0  8  4 12  4 12 12  4  4 12  4 12  8 12 12  0  4 12  4 12  8 12  0  8  8  0 12 12  8  8  4  0 12  0 12 12  0
 0  0  0  0  4 12 12  8  4  0  0  4  0  0  8  4 12 12 12 12  8 12  0  8 12  8 12  4  8  8 12  8 12  8 12  4 12  0 12 12  4  0 12  4  4  4  0

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

Homogenous weight enumerator: w(x)=1x^0+37x^40+116x^41+363x^42+616x^43+1390x^44+1596x^45+2846x^46+2560x^47+2816x^48+1572x^49+1385x^50+596x^51+314x^52+68x^53+29x^54+24x^55+13x^56+8x^57+12x^58+12x^59+4x^60+5x^62+1x^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 2.37 seconds.