The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+468x^44+764x^45+786x^46+668x^47+403x^48+368x^49+278x^50+156x^51+123x^52+28x^53+48x^54+4x^56+1x^60

The gray image is a code over GF(2) with n=376, k=12 and d=176.
This code was found by Heurico 1.16 in 0.99 seconds.