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  1  1  1  1  1  1  1  1  1  2  1  2  2  1  1  1  1  1  1  1  2  1  4  4  4  1  1  1  1
 0 12  0  0  0  4 12  4  8 12  8  0  0  4  4  4  4 12  8  0 12  0  4  8  8  0 12  4  4  4  8  0  0  8  0  4  0 12  4  0  8  0 12  8  4  8  8  8 12  0  8 12  0 12  4  0 12
 0  0 12  0  4  4  4  8  0  4  8  4 12  4  8  0  0  0  8 12  0  0  4  4  8  8  0  4 12 12 12  4  0  0  4 12 12  8  4 12 12  0  8  0  4 12 12  0  8  8  4  4  4 12  8  0  4
 0  0  0 12  4  0  4  4  8  0 12  4  8  4  0  4  4  4  4 12  0  8 12 12  4  0  0  8  8 12  8  0  0  4 12  0 12  8  0  8  8  8 12  8  0  4 12  0  0  0  8  4  4  0  0  4  4
 0  0  0  0  8  0  0  8  8  8  0  0  0  8  8  0  8  0  8  8  8  8  8  0  8  0  0  8  0  0  8  8  0  0  0  0  0  0  0  8  8  0  0  0  8  8  0  8  8  0  0  8  8  0  0  0  8
 0  0  0  0  0  8  0  0  0  0  8  0  8  8  8  0  8  8  8  8  0  8  0  8  0  8  8  8  0  8  8  0  8  0  0  8  8  8  0  8  8  0  0  0  8  0  8  8  8  0  8  8  8  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+108x^50+159x^52+32x^53+249x^54+352x^55+779x^56+768x^57+804x^58+352x^59+196x^60+32x^61+146x^62+67x^64+32x^66+12x^68+5x^70+1x^72+1x^100

The gray image is a code over GF(2) with n=456, k=12 and d=200.
This code was found by Heurico 1.16 in 0.5 seconds.