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

generates a code of length 55 over Z16 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+112x^51+185x^52+306x^53+253x^54+406x^55+328x^56+208x^57+78x^58+60x^59+44x^60+42x^61+5x^62+14x^63+1x^64+4x^65+1x^92

The gray image is a code over GF(2) with n=440, k=11 and d=204.
This code was found by Heurico 1.16 in 0.167 seconds.