The generator matrix

 1  0  1  1  4  1 10  1  1  1  1  6 10  1  1  1  1  4  1  1 10  1  1  8  1 14  1  8  6  1  1  0  1  1  1  8  1  1 12  0  1  1  2  1  2  1  1  1
 0  1  1  6  1  7  1  4 15  2  5  1  1  8  3 14 13  1 10  9  1  4 11  1  2  1  2  1  1  8  9  2  7  7 15 12  1  1  1  1  0  7 10  6  1 13  6  0
 0  0  2  0 10  2  6 10  8 10  8  0 10 14  6 14  6  6  0  8  0  4  4 12  4 12  6 10 14 10 14 14  4  6 10  2  2  4  2 12 14 14  6  6  4 14  8  0
 0  0  0  8  0  8  8  8  8  0  0  8  8  8  8  0  0  0  0  8  0  8  0  8  8  8  8  8  0  0  8  8  0  0  0  0  8  0  8  0  0  8  0  8  8  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+130x^44+518x^45+527x^46+756x^47+518x^48+654x^49+387x^50+314x^51+109x^52+88x^53+34x^54+34x^55+9x^56+4x^57+11x^58+1x^60+1x^62

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 0.253 seconds.