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

generates a code of length 63 over Z16 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+41x^56+148x^57+354x^58+456x^59+818x^60+632x^61+1391x^62+718x^63+1420x^64+610x^65+717x^66+292x^67+229x^68+112x^69+79x^70+70x^71+50x^72+30x^73+16x^74+1x^76+4x^77+2x^78+1x^90

The gray image is a code over GF(2) with n=504, k=13 and d=224.
This code was found by Heurico 1.16 in 1.29 seconds.