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

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

Homogenous weight enumerator: w(x)=1x^0+105x^56+16x^57+196x^58+116x^59+378x^60+208x^61+917x^62+348x^63+887x^64+208x^65+320x^66+108x^67+107x^68+16x^69+82x^70+4x^71+37x^72+20x^74+18x^76+1x^78+2x^80+1x^100

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 0.61 seconds.