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

generates a code of length 47 over Z16 who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+172x^43+88x^44+294x^45+298x^46+388x^47+306x^48+254x^49+52x^50+140x^51+20x^52+26x^53+2x^54+4x^55+2x^57+1x^80

The gray image is a code over GF(2) with n=376, k=11 and d=172.
This code was found by Heurico 1.16 in 20.8 seconds.