The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+40x^55+5x^56+8x^57+8x^58+2x^60

The gray image is a code over GF(2) with n=440, k=6 and d=220.
This code was found by Heurico 1.16 in 0.0637 seconds.