The generator matrix

 1  0  1  1  1 14  1  1 12  1  1  2  1  1  8  1  1  6  1  1 12  6  1  1  0  2  0  6  4 12  6 14  1  1  1  1  1  1 12  1  1  1  1  1  0  1  4
 0  1 11 14  5  1  7 12  1  2  9  1  8  3  1  6 13  1 15 10  1  1  1  4  1  1  1  1  1  1  1  1  0  0  4  4  6  6  2 10 14  2 10  8  2  4 12
 0  0 12  4  8 12 12  0  0  4  8 12  4  8 12  0 12  0  8  0  0  4 12  4  0  4 12  8  4  4  0  8  0  4 12  8  0  4  8  8 12  0  8 12  8  4  0
 0  0  0  8  0  8  8  8  8  0  8  0  0  8  0  0  0  8  0  8  0  8  8  8  8  0  8  8  0  8  0  0  8  8  0  0  8  0  8  8  8  0  0  8  0  0  8

generates a code of length 47 over Z16 who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+470x^44+544x^46+629x^48+352x^50+46x^52+1x^56+4x^60+1x^72

The gray image is a code over GF(2) with n=376, k=11 and d=176.
This code was found by Heurico 1.16 in 6.6 seconds.