The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+600x^49+2038x^50+3404x^51+5697x^52+7490x^53+9132x^54+9168x^55+9171x^56+7524x^57+5497x^58+3014x^59+1639x^60+682x^61+323x^62+92x^63+36x^64+24x^65+1x^66+2x^67+1x^70

The gray image is a code over GF(2) with n=440, k=16 and d=196.
This code was found by Heurico 1.16 in 31.5 seconds.