The generator matrix

 1  0  1  1  6  1  1  1  4  1  1  8  2  1  1  1 14  1  1  6  1  1  8  1  1  1  2  1  1  1  0  1  1  1  1 10  1 12  1  1  4  1  0  4 12  0  6  1  4  6  0  1  8  1  2
 0  1  1  6  1  3  5  4  1  7  2  1  1  9  8  3  1 14 15  1  6  7  1 12  9 12  1  5 12 11  1 13 11  6 12  1 13  1  2  0  4  3  1  2  1  2  1 14  2  1  0  1  1 11  2
 0  0  2  0  0  0  0  2  2  2 10 12  2  8  4 14  4  4  8  6 14  4  2 14  6 10  4  6  8  4 14 10  2  0  0  6  4  6  4 14  2 14 12  2  6 14  4  2  2  6  2 12  0 12  2
 0  0  0  8  0  0  0  0  0  0  0  0  8  8  0  8  0  0  0  8  8  8  0  0  8  0  8  8  0  8  8  8  0  0  8  8  8  0  0  8  8  0  0  8  8  0  8  0  8  0  8  0  8  8  8
 0  0  0  0  8  0  0  8  8  8  0  0  0  0  8  8  0  0  8  0  0  8  8  8  8  0  8  8  0  8  0  0  8  8  8  8  0  0  8  0  8  0  8  0  8  0  8  0  8  8  8  8  0  0  8
 0  0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  8  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  8  8  0  8  8  8  8  0  0  8  0  8  0  0  8  8  0  8  8  0  8  8
 0  0  0  0  0  0  8  0  8  8  8  8  0  8  8  8  0  8  8  8  0  8  0  0  8  8  0  0  0  0  8  8  0  8  0  0  8  0  0  8  8  8  8  8  8  0  8  8  8  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+176x^48+476x^49+794x^50+1960x^51+2274x^52+4208x^53+4060x^54+5216x^55+3958x^56+4176x^57+2056x^58+1864x^59+732x^60+480x^61+168x^62+48x^63+79x^64+4x^65+22x^66+10x^68+4x^70+2x^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 12.1 seconds.