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  4  1  1  1  1  1  1  1  1  1  4  1  1  4  1  1
 0 12  0 12  0 12  0  4  8 12  0 12 12  0  8  4  8  4  4  0  0 12 12  8  0 12 12  0 12  4  0  8  4 12  8  0 12  4  8  8  4 12  4  4 12  0  0  8  8  0  0  8  0 12  0  0  8  8 12  4  8  0  0
 0  0  8  0  0  0  0  0  8  0  0  8  8  8  8  0  8  8  8  0  8  0  0  0  0  0  0  8  0  0  0  0  8  8  8  8  8  0  8  8  8  8  8  8  0  0  0  0  0  0  8  8  8  8  0  8  0  8  8  8  0  0  0
 0  0  0  8  0  0  0  8  0  0  0  8  0  0  0  8  0  0  8  8  8  0  8  0  8  0  8  8  0  0  0  8  8  8  8  8  0  8  8  0  0  0  8  8  8  0  8  0  8  0  0  8  8  8  8  8  8  8  0  0  0  0  0
 0  0  0  0  8  0  0  0  0  8  8  0  8  0  8  8  8  0  8  8  0  0  0  8  0  8  8  8  8  0  8  0  0  8  8  0  0  8  0  8  0  8  0  0  8  0  8  0  8  0  8  0  8  8  0  8  8  8  0  8  0  0  0
 0  0  0  0  0  8  0  8  0  8  8  0  0  8  8  0  8  8  8  8  0  0  8  8  8  0  8  0  8  8  0  8  8  0  8  8  8  8  0  0  0  8  8  0  0  8  8  0  0  8  0  8  0  0  0  8  0  0  0  8  0  8  8
 0  0  0  0  0  0  8  0  8  0  8  0  0  0  8  0  0  0  0  8  8  8  8  0  0  8  8  0  8  8  8  8  0  8  8  0  8  0  0  0  8  0  8  8  8  0  0  0  8  8  8  8  8  0  0  0  0  8  0  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+34x^58+278x^60+216x^62+1024x^63+193x^64+152x^66+30x^68+32x^70+20x^72+14x^74+12x^76+1x^120

The gray image is a code over GF(2) with n=504, k=11 and d=224.
This code was found by Heurico 1.16 in 0.293 seconds.