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

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

Homogenous weight enumerator: w(x)=1x^0+208x^51+92x^52+172x^53+314x^54+544x^55+274x^56+136x^57+60x^58+208x^59+16x^60+12x^61+10x^62+1x^96

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 54 seconds.