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

generates a code of length 58 over Z16 who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+20x^55+130x^56+96x^57+512x^58+136x^59+120x^60+4x^63+4x^64+1x^112

The gray image is a code over GF(2) with n=464, k=10 and d=220.
This code was found by Heurico 1.16 in 0.22 seconds.