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

generates a code of length 56 over Z16 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+100x^50+68x^51+255x^52+160x^53+480x^54+548x^55+936x^56+544x^57+490x^58+140x^59+173x^60+64x^61+62x^62+12x^63+39x^64+18x^66+3x^68+2x^70+1x^92

The gray image is a code over GF(2) with n=448, k=12 and d=200.
This code was found by Heurico 1.16 in 0.456 seconds.