The generator matrix

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

generates a code of length 55 over Z16 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+16x^56+10x^57+2x^58+2x^59+1x^60

The gray image is a code over GF(2) with n=440, k=5 and d=224.
This code was found by Heurico 1.16 in 0.0634 seconds.