The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+4x^54+104x^55+7x^56+4x^57+3x^58+4x^61+1x^66

The gray image is a code over GF(2) with n=440, k=7 and d=216.
This code was found by Heurico 1.16 in 0.0642 seconds.