The generator matrix

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

generates a code of length 55 over Z16 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+168x^54+28x^56+56x^58+3x^64

The gray image is a code over GF(2) with n=440, k=8 and d=216.
This code was found by Heurico 1.16 in 4.08 seconds.