The generator matrix

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

generates a code of length 55 over Z16 who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+76x^53+42x^54+16x^55+42x^56+64x^57+4x^58+4x^60+4x^61+2x^62+1x^64

The gray image is a code over GF(2) with n=440, k=8 and d=212.
This code was found by Heurico 1.16 in 0.302 seconds.