The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+108x^40+244x^41+599x^42+858x^43+1311x^44+1602x^45+2312x^46+2276x^47+2428x^48+1718x^49+1301x^50+690x^51+465x^52+232x^53+131x^54+48x^55+35x^56+10x^57+8x^58+4x^60+2x^61+1x^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.