The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+534x^51+691x^52+1424x^53+1235x^54+1244x^55+778x^56+966x^57+479x^58+438x^59+161x^60+140x^61+44x^62+44x^63+1x^64+6x^65+1x^66+4x^67+1x^70

The gray image is a code over GF(2) with n=440, k=13 and d=204.
This code was found by Heurico 1.16 in 0.874 seconds.