The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  2  1  1  1  1  1  1  4  1  1  1  1  1  0  2  1  1  4  1  2  1  1
 0 12  0 12  0 12  0  4  8 12  0 12  0 12  0  4  8 12 12  0  4  8  4  8  0 12  4 12  0  0  8  8 12  0  8  0  8  0  4 12  0  8 12 12  0  8  0
 0  0  8  0  0  0  0  0  8  0  0  0  8  0  8  0  8  8  0  0  8  8  8  0  8  0  0  8  8  8  8  8  0  0  8  0  0  8  0  8  8  0  0  8  8  8  0
 0  0  0  8  0  0  0  8  0  0  0  8  0  0  8  0  8  8  8  8  0  0  8  8  0  0  8  0  8  8  8  8  8  0  0  8  0  8  0  8  0  8  0  8  0  8  0
 0  0  0  0  8  0  0  0  0  8  8  8  0  0  8  8  8  0  8  0  8  8  0  0  8  0  8  8  0  0  8  8  8  8  0  8  0  8  0  0  8  0  0  0  0  8  0
 0  0  0  0  0  8  0  8  0  8  8  0  8  0  8  0  0  0  8  8  8  0  8  0  8  8  0  0  0  8  0  8  8  8  8  0  0  8  0  8  0  0  8  0  0  8  0
 0  0  0  0  0  0  8  0  8  0  8  8  0  8  8  0  8  8  8  0  0  0  0  0  8  8  0  8  0  8  0  0  8  0  8  0  8  0  0  8  0  8  0  0  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+26x^40+71x^42+153x^44+128x^45+531x^46+256x^47+524x^48+128x^49+141x^50+52x^52+20x^54+6x^56+3x^58+3x^60+1x^62+2x^64+1x^66+1x^80

The gray image is a code over GF(2) with n=376, k=11 and d=160.
This code was found by Heurico 1.16 in 0.14 seconds.