The generator matrix

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

generates a code of length 55 over Z16 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+230x^48+288x^49+954x^50+1576x^51+2242x^52+4444x^53+3846x^54+5856x^55+3761x^56+4492x^57+2192x^58+1416x^59+732x^60+308x^61+264x^62+48x^63+63x^64+4x^65+38x^66+10x^68+2x^70+1x^72

The gray image is a code over GF(2) with n=440, k=15 and d=192.
This code was found by Heurico 1.16 in 10.9 seconds.