The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  8  1 14  1  1  8  1  1  1  2  1  1  1 10  1  4  1  1  1  1 14  1  2 12  0 14  1  1  1  2  2  1  2  1
 0  1 11  6 13  1 12  7  1 10  5  1  9  1  8  1 14  3  1  1  2 15  1  0  2 13  1  4  1 13 15  5 11  1  3  1  1  1  1  7  3  8  2  1  2  4  8
 0  0 12  0  4  0  0  4  8  8  8  0  8 12  4 12  4  8 12 12  4  0 12  0 12  4  0  4 12  4  8  8 12 12  0  4  8  0  4  4  8 12 12  4  4  4 12
 0  0  0  8  0  0  0  0  8  0  8  8  8  0  8  8  0  0  8  0  0  0  8  8  8  8  8  8  0  8  0  0  8  8  8  8  0  8  0  0  0  0  8  0  8  8  8
 0  0  0  0  8  0  0  8  0  0  0  8  8  0  8  0  8  8  8  0  0  8  0  8  8  8  8  0  8  0  8  0  0  8  8  8  0  0  8  8  8  0  8  0  0  8  8
 0  0  0  0  0  8  0  8  0  8  8  0  0  8  8  8  0  8  0  0  0  8  8  8  8  8  0  8  0  0  0  8  8  8  8  0  0  8  8  8  0  8  0  8  8  8  0
 0  0  0  0  0  0  8  0  0  8  0  0  0  8  0  8  8  0  8  8  0  8  0  8  8  8  8  0  0  8  0  0  0  8  0  8  8  8  0  8  8  0  0  0  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+34x^40+178x^41+286x^42+684x^43+1096x^44+2050x^45+2451x^46+2908x^47+2453x^48+2046x^49+1052x^50+666x^51+238x^52+134x^53+26x^54+26x^55+14x^56+8x^57+22x^58+2x^59+2x^60+3x^62+2x^63+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 2.42 seconds.