The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+188x^48+852x^49+1672x^50+3552x^51+4816x^52+7120x^53+9660x^54+9456x^55+10041x^56+7776x^57+4666x^58+3152x^59+1321x^60+752x^61+282x^62+96x^63+73x^64+12x^65+38x^66+6x^68+2x^70+1x^72+1x^76

The gray image is a code over GF(2) with n=440, k=16 and d=192.
This code was found by Heurico 1.16 in 32.7 seconds.