The generator matrix

 1  0  0  1  1  1 10 14  1  1 10  4  6  1  1  1  4  1  1  1  2  1  1  6 10  1  8  1  0  2  4  1  1  1  1  1  0  1  1  1 14 10  1  1  1  1  0 12  1  1 14  1 12  1  6
 0  1  0  4  5  1  1  1 14  3  1 14  1  6 11  2  1  1  1  0  4 14 15  1  6 10  1 11  1  1  2  4 14  1  6  9  1  0  5 13  1  1  2 13  7  3  0 14 12  8  1 14  1  3  1
 0  0  1  7  3  4  3  2 15  3  5  1 12  0 12  1  1  2  1  6  1  1  5  3  1  6  2  2  3  4  1 10  3  7 14  6 11 13 13 12 10 14 10  9  2  8  1  1  3 11 15  5  5  0  5
 0  0  0  8  0  0  0  0  8  0  0  0  0  0  0  0  8  8  8  8  8  0  8  8  8  8  8  0  0  8  8  0  0  0  8  0  8  8  8  0  8  0  8  0  0  8  0  8  8  0  8  0  0  0  0
 0  0  0  0  8  0  0  0  0  8  0  0  0  0  0  0  0  0  8  0  0  0  8  0  0  0  8  8  8  8  8  8  8  8  8  0  8  8  0  8  0  8  8  8  0  0  8  0  8  0  8  0  0  8  8
 0  0  0  0  0  8  0  8  8  8  0  0  8  8  0  0  0  0  8  8  8  8  0  0  0  8  0  8  0  8  0  0  0  8  0  0  8  8  0  0  8  8  0  8  8  8  0  8  0  0  0  8  0  8  0
 0  0  0  0  0  0  8  0  0  0  0  8  8  8  8  0  8  8  8  0  0  0  8  0  8  8  0  8  0  8  0  8  8  0  8  0  0  0  0  8  8  0  0  8  0  0  8  8  0  8  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+263x^48+732x^49+1736x^50+3292x^51+5146x^52+7192x^53+9298x^54+10308x^55+9202x^56+7400x^57+5274x^58+3076x^59+1534x^60+664x^61+182x^62+92x^63+84x^64+12x^65+22x^66+24x^68+2x^72

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 36 seconds.