The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  8  4  2  1  2  1  1  2  2  1  0  0  0  4  2  4  1  1  2  8 12  1  1  4  1  2  1  1
 0  2  0  0  0  2 14  2  4 12 14 10 12 14 12 10 10  0  8 12 12  4  6  6  6  0 10 14  4  2  2  2  2  8  4  2  4  8  6  2  0  8  4  2  8  2  2  0
 0  0  2  0  2  2 10  8  0  0  2 10  6  4  2  8  6 10 14  0  8  2 10  4 12 14  0  2  4 14 12 10  6  2 10 12  0  4  0  2 12  2  0  4  6 10  8  0
 0  0  0  2  2  8  2  6 14  4  4 14 14 10  8  4  8 12 14  4  2  0 14 10  0  2 12 10 14  2 12  0 14 14  8  2 10  2  8  4  2  0  4 12  0  2 14  0
 0  0  0  0  4  0  4 12 12 12 12  8  8  0  4  4  8  4  0  0  8  0  4 12 12  4  8 12 12  8  8  8  0 12 12 12 12  8  0 12 12  4  8 12 12 12  4  0

generates a code of length 48 over Z16 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+77x^40+312x^41+656x^42+1004x^43+1422x^44+2668x^45+3197x^46+4692x^47+4597x^48+4868x^49+3396x^50+2584x^51+1378x^52+936x^53+438x^54+276x^55+133x^56+44x^57+52x^58+20x^59+8x^60+4x^61+5x^62

The gray image is a code over GF(2) with n=384, k=15 and d=160.
This code was found by Heurico 1.16 in 12.4 seconds.