The generator matrix

 1  0  1  1  1  6  1  1 10  1  1 12  1  1 12  1  1 10  1  1  6  1  1  0  1  1  1  1  8 14  1  1  1  1  4  2  1  1  1  1  1  1  1  1  8 14  4  2  2  2  0  1  1  1  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  3  1  6  5  1 12 15  1 10  9  1  8 14 11 13  1  1  4  2  7  1  1  1  8 14  4  2 11 13  7  1  1  1  1  1  0  6  2  6  6  5  0
 0  0  8  8  0  8  8  0  0  0  8  8  8  0  0  0  8  8  0  8  0  8  0  8  8  0  8  0  8  0  0  8  0  8  0  8  0  8  8  0  0  8  8  0  0  8  8  0  8  8  8  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+28x^53+136x^54+184x^55+125x^56+28x^57+6x^58+1x^60+1x^66+1x^70+1x^72

The gray image is a code over GF(2) with n=440, k=9 and d=212.
This code was found by Heurico 1.16 in 0.0682 seconds.