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

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

Homogenous weight enumerator: w(x)=1x^0+46x^56+36x^57+173x^58+194x^59+249x^60+476x^61+436x^62+882x^63+447x^64+492x^65+229x^66+198x^67+145x^68+20x^69+47x^70+6x^71+5x^72+9x^74+2x^76+1x^78+1x^80+1x^106

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 0.524 seconds.