The generator matrix

 1  0  1  1  1 14  1  2  1 12  1  1  1  1  8  1  1  4  1  1  1  1  0 12  6 10  6 10  0  8  1  1  1  1 14  8  6  2  6 14  1  1  2  1  1  1  1  1  1  1  1  2  2 14  1
 0  1 11  6 13  1 12  1  7  1 14  5  8  3  1  2  9  1  4  1 10 15  1  1  1  1  1  1  1  1  0 10 13 11  1  1  1  1  1  1 14  8  4 15  5  0 14  6 13  0  3  2 14  1  0
 0  0 12  0  4  4  8  4  4  8  4  0 12  8 12  4  0 12 12 12  8  8  0  8  0  0  0  0 12  4  0  8  4 12 12 12 12  4  8  8  4  4 12  0  0 12 12 12  8  4  0 12 12 12  0
 0  0  0  8  0  8  8  8  8  0  0  8  0  8  0  8  0  0  8  8  0  0  8  8  0  8  0  8  8  8  8  0  8  0  0  8  0  0  8  0  8  0  0  8  0  8  0  8  8  0  0  8  0  8  8
 0  0  0  0  8  8  8  0  8  8  0  8  8  0  8  0  8  0  8  0  8  0  0  8  0  8  8  0  8  0  0  0  8  8  0  0  8  0  0  8  8  0  0  8  0  0  8  8  0  8  0  0  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+59x^50+328x^51+306x^52+550x^53+410x^54+824x^55+433x^56+566x^57+244x^58+250x^59+59x^60+34x^61+15x^62+4x^63+2x^65+7x^66+2x^67+1x^70+1x^76

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 0.284 seconds.