The generator matrix

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

generates a code of length 55 over Z16 who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+258x^49+888x^50+1666x^51+3186x^52+3454x^53+4808x^54+4550x^55+4970x^56+3344x^57+2825x^58+1396x^59+816x^60+350x^61+129x^62+62x^63+25x^64+18x^65+3x^66+6x^67+10x^68+3x^70

The gray image is a code over GF(2) with n=440, k=15 and d=196.
This code was found by Heurico 1.16 in 8.56 seconds.