The generator matrix

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

generates a code of length 48 over Z16 who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+132x^43+393x^44+826x^45+1042x^46+1294x^47+1100x^48+1228x^49+895x^50+682x^51+317x^52+116x^53+62x^54+50x^55+20x^56+20x^57+8x^58+2x^59+2x^61+1x^64+1x^66

The gray image is a code over GF(2) with n=384, k=13 and d=172.
This code was found by Heurico 1.16 in 0.672 seconds.