The generator matrix

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

generates a code of length 57 over Z16 who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+160x^55+30x^56+128x^57+30x^58+160x^59+1x^66+1x^80+1x^82

The gray image is a code over GF(2) with n=456, k=9 and d=220.
This code was found by Heurico 1.16 in 0.193 seconds.