The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  1  1  1  2  4  2  2  1  4  1  1  2  1  4  1  1  1  2  1  1  2  4  0  1  1  2  4  4  1  1  2
 0  2  0  2  0  0  6  6  4  4 10  6 12  4 14  2  4 10  4 12  6  8  2  2  6 10  0  6  2 10  4 12  4  2 12 10  2  2 14  6 14  4  8 14  4  4  8 12 12  6  2  2  8 10 14
 0  0  2  2 12  6  6  0 12  2 14 12  0  6 10  4 12  6 10 14  6  4  2  6  0  0 14  8  4  6 14 14  2  4  0  8  2 10  2  6  0 14  8  2  2  2  2  6  0  2 12  4 10 14  4
 0  0  0  8  0  0  0  0  8  0  0  8  8  0  8  8  8  0  8  8  8  0  8  0  0  8  8  0  0  8  0  8  8  8  0  8  8  8  0  8  8  8  0  0  0  0  8  0  0  0  0  8  0  8  0
 0  0  0  0  8  0  0  8  0  8  8  0  0  8  8  8  8  0  0  0  0  8  8  0  8  0  8  8  8  0  0  8  0  0  8  0  8  8  0  0  8  8  0  8  0  0  8  0  0  0  8  8  0  0  0
 0  0  0  0  0  8  0  0  0  8  8  8  8  0  8  8  0  8  0  8  8  8  8  0  8  0  8  0  8  0  8  0  0  8  0  0  8  0  0  0  8  0  8  0  0  8  0  8  0  0  0  8  8  8  8
 0  0  0  0  0  0  8  0  8  0  8  8  8  0  0  8  8  8  8  8  0  0  0  8  0  8  8  0  0  0  8  8  0  0  8  0  8  8  0  8  0  0  8  0  8  0  8  8  8  8  8  0  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+191x^48+260x^49+668x^50+808x^51+1037x^52+2068x^53+1766x^54+3000x^55+1713x^56+2060x^57+998x^58+760x^59+491x^60+188x^61+194x^62+40x^63+76x^64+32x^65+22x^66+7x^68+3x^72+1x^76

The gray image is a code over GF(2) with n=440, k=14 and d=192.
This code was found by Heurico 1.16 in 4.92 seconds.