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  4  1  1  1  2  4
 0 12  0  0  0  4 12  4  0  0  0  0  4 12  4 12  0  8 12  8  0 12 12 12  8  4  8  4  0  8 12  4  8  8 12  4  8  0  4 12  8 12  8  0  8  4  0
 0  0 12  0  4  4 12  0  0  0  4 12  4 12  0  0  8  0 12  4  4  8  4  8  8 12 12  0  8  4  0 12  8 12 12  8 12  8 12  4  8  0  4 12  4 12 12
 0  0  0 12  4  0 12  4  8  4 12  8  8  4 12  8  8  4  0 12  8 12  4  8  8 12  4  0  4  8 12  8 12  0  8 12 12  0  4  0  0  0  4  4  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+97x^44+80x^45+152x^46+352x^47+210x^48+80x^49+8x^50+43x^52+1x^88

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 1.14 seconds.