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

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

Homogenous weight enumerator: w(x)=1x^0+108x^56+8x^57+172x^58+136x^59+288x^60+480x^61+476x^62+784x^63+535x^64+520x^65+228x^66+104x^67+90x^68+16x^69+68x^70+49x^72+16x^74+14x^76+2x^80+1x^104

The gray image is a code over GF(2) with n=504, k=12 and d=224.
This code was found by Heurico 1.16 in 0.73 seconds.