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

generates a code of length 57 over Z16 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+16x^54+104x^55+139x^56+26x^57+138x^58+44x^59+19x^60+4x^61+4x^62+12x^63+2x^66+1x^68+2x^73

The gray image is a code over GF(2) with n=456, k=9 and d=216.
This code was found by Heurico 1.16 in 0.125 seconds.