The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+46x^50+180x^51+276x^52+536x^53+535x^54+1040x^55+926x^56+1202x^57+991x^58+998x^59+575x^60+412x^61+139x^62+186x^63+40x^64+20x^65+30x^66+22x^67+5x^68+4x^69+17x^70+6x^71+1x^72+2x^73+1x^74+1x^78

The gray image is a code over GF(2) with n=456, k=13 and d=200.
This code was found by Heurico 1.16 in 1.25 seconds.