The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+27x^40+174x^41+393x^42+796x^43+1606x^44+2274x^45+4092x^46+4132x^47+5751x^48+4282x^49+4088x^50+2318x^51+1518x^52+654x^53+350x^54+170x^55+51x^56+40x^57+31x^58+6x^59+4x^60+6x^62+2x^63+2x^64

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 8.6 seconds.