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

generates a code of length 48 over Z16 who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+48x^44+336x^45+97x^46+460x^47+94x^48+620x^49+90x^50+196x^51+48x^52+52x^53+3x^54+1x^58+1x^64+1x^66

The gray image is a code over GF(2) with n=384, k=11 and d=176.
This code was found by Heurico 1.16 in 0.0791 seconds.