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

generates a code of length 58 over Z16 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+243x^56+128x^57+320x^58+128x^59+172x^60+16x^62+15x^64+1x^104

The gray image is a code over GF(2) with n=464, k=10 and d=224.
This code was found by Heurico 1.16 in 1.94 seconds.