The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+141x^40+204x^41+689x^42+676x^43+1805x^44+1948x^45+3995x^46+3808x^47+6309x^48+3816x^49+3984x^50+2052x^51+1690x^52+604x^53+578x^54+184x^55+188x^56+20x^57+59x^58+8x^60+7x^62+1x^64+1x^68

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 13.4 seconds.