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

generates a code of length 63 over Z16 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+120x^57+122x^58+140x^59+327x^60+446x^61+590x^62+652x^63+583x^64+444x^65+299x^66+132x^67+102x^68+100x^69+10x^70+4x^71+7x^72+4x^73+2x^74+3x^76+6x^77+1x^82+1x^104

The gray image is a code over GF(2) with n=504, k=12 and d=228.
This code was found by Heurico 1.16 in 1.82 seconds.