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

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

Homogenous weight enumerator: w(x)=1x^0+77x^44+70x^45+184x^46+382x^47+167x^48+50x^49+79x^50+10x^51+3x^52+1x^90

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 0.0501 seconds.