The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+70x^40+158x^41+369x^42+746x^43+1353x^44+2314x^45+3587x^46+5122x^47+5660x^48+4804x^49+3546x^50+2388x^51+1391x^52+612x^53+308x^54+172x^55+61x^56+46x^57+25x^58+18x^59+8x^60+2x^61+5x^62+2x^63

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 9.55 seconds.