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

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

Homogenous weight enumerator: w(x)=1x^0+27x^50+186x^51+118x^52+96x^53+502x^54+210x^55+494x^56+96x^57+100x^58+174x^59+26x^60+10x^62+6x^63+1x^64+1x^98

The gray image is a code over GF(2) with n=440, k=11 and d=200.
This code was found by Heurico 1.16 in 0.223 seconds.