The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  1  1  1  1  1  2 12  1  1  1  2  1  0  1  1  1  2 12  2  1  1  1  0  1  0  1  1
 0  2 12  6  0  6 12 10  0  6 12 10  4 10  0  8  6 14  6  2  6 12  0 10 12 10  2 10 10  2  6 12  2  6  4  0 10  2  6  0 10 12  2  0  2 10 12
 0  0  8  0  0  0  0  0  0  0  8  0  0  0  8  8  8  8  0  8  8  0  8  0  0  8  8  0  8  8  0  0  8  8  0  8  0  0  8  0  8  0  0  8  8  8  8
 0  0  0  8  0  0  0  0  0  8  8  0  8  0  8  8  0  0  8  8  8  8  0  0  8  0  0  8  0  8  8  0  8  8  0  8  8  0  8  0  0  0  8  0  0  8  8
 0  0  0  0  8  0  0  0  8  0  0  0  0  0  8  8  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  0  0  8  8  8  0  0  8  0  8  0  8  0  0
 0  0  0  0  0  8  0  0  0  8  0  8  0  8  8  8  8  0  0  0  8  0  8  0  8  8  0  8  0  8  8  8  0  8  0  0  8  0  0  8  8  8  8  0  0  0  8
 0  0  0  0  0  0  8  0  8  0  8  8  0  8  0  8  8  8  8  0  0  0  0  8  0  0  0  8  8  8  8  0  0  8  0  8  0  0  8  0  8  8  8  0  8  0  8
 0  0  0  0  0  0  0  8  0  0  0  8  0  0  0  0  8  8  8  8  8  8  0  0  8  0  8  8  0  8  0  8  8  0  8  0  0  0  8  0  8  8  8  8  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+112x^40+72x^41+182x^42+240x^43+596x^44+1080x^45+910x^46+1824x^47+955x^48+1080x^49+514x^50+240x^51+214x^52+72x^53+58x^54+25x^56+14x^60+2x^64+1x^72

The gray image is a code over GF(2) with n=376, k=13 and d=160.
This code was found by Heurico 1.16 in 1.08 seconds.