The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+184x^49+440x^50+1106x^51+1214x^52+1976x^53+2047x^54+2802x^55+1870x^56+1992x^57+1153x^58+838x^59+325x^60+224x^61+77x^62+78x^63+12x^64+8x^65+25x^66+8x^67+1x^68+1x^72+2x^74

The gray image is a code over GF(2) with n=440, k=14 and d=196.
This code was found by Heurico 1.16 in 4.41 seconds.