The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+126x^50+240x^51+359x^52+496x^53+569x^54+576x^55+551x^56+512x^57+295x^58+208x^59+104x^60+16x^61+30x^62+7x^64+2x^66+1x^68+1x^70+1x^72+1x^90

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 0.302 seconds.