The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+27x^44+344x^45+35x^46+208x^47+35x^48+344x^49+27x^50+1x^60+1x^62+1x^66

The gray image is a code over GF(2) with n=376, k=10 and d=176.
This code was found by Heurico 1.16 in 0.0465 seconds.