The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+296x^44+288x^45+656x^46+480x^47+751x^48+480x^49+528x^50+288x^51+280x^52+32x^54+6x^56+8x^60+2x^64

The gray image is a code over GF(2) with n=384, k=12 and d=176.
This code was found by Heurico 1.16 in 0.3 seconds.