The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+329x^40+452x^41+1164x^42+1456x^43+2698x^44+3364x^45+4500x^46+4808x^47+4672x^48+3460x^49+2594x^50+1392x^51+1063x^52+332x^53+272x^54+88x^55+94x^56+8x^57+14x^58+7x^60

The gray image is a code over GF(2) with n=376, k=15 and d=160.
This code was found by Heurico 1.16 in 76 seconds.