The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+88x^49+513x^50+892x^51+1588x^52+1758x^53+2440x^54+2264x^55+2226x^56+1802x^57+1313x^58+676x^59+432x^60+154x^61+132x^62+40x^63+41x^64+6x^65+17x^66+1x^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 2.64 seconds.