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

generates a code of length 55 over Z16 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+118x^50+224x^51+424x^52+460x^53+633x^54+564x^55+687x^56+292x^57+282x^58+172x^59+90x^60+48x^61+42x^62+32x^63+22x^64+4x^66+1x^86

The gray image is a code over GF(2) with n=440, k=12 and d=200.
This code was found by Heurico 1.16 in 0.382 seconds.