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

generates a code of length 57 over Z16 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+180x^50+440x^51+567x^52+940x^53+1176x^54+1980x^55+1748x^56+2536x^57+1648x^58+1972x^59+1178x^60+924x^61+376x^62+356x^63+215x^64+48x^65+28x^66+20x^67+31x^68+16x^70+4x^72

The gray image is a code over GF(2) with n=456, k=14 and d=200.
This code was found by Heurico 1.16 in 4.49 seconds.