The generator matrix

 1  0  1  1  1 14  1  1  6  1  4  1  1  1  6  1  1  0  6  1  1  1  4  1  1  1  1  1  1  1  2  1  1 12  2  1  6  1  1  1  8  1  1  1  1  1  1  1  1  0  2  1  0  1  1  1  1  8 14  6  1 10  1  1  1  1  1  1
 0  1 11  6  5  1 11  0  1 14  1  9  3  6  1  7  4  1  1 15  4  6  1  7 15 13  1 13  7  8  1 10 13  1  1  0  1 12 13  3  1 10  0  9  4 10  9 13  2  1  2 12  2  5  7  7 12  1  1  1  2  1  0 10  2  0 11  2
 0  0 12  0  0  0  0 12  4  4 12  8  4  8  8 12  4  4 12 12  8 12  8  8  4  0  8  4  0 12 12  4  4  8  8  0 12  0  4  8 12  8  4 12  4  0  0  0 12  8  8  0  4 12  0 12 12  0 12  4  8  0  8 12 12  8  0  4
 0  0  0 12  8  4  4 12  4  8  0  0  4  8  8  8  0  4  8  4 12 12  4  4 12  4 12  0  8  0  0  4 12  8  4 12 12  0  8  0  8  0  4  4  8  4  0 12  0 12  4  4 12  8  0  0  4  8  0  8  4  0 12 12  4  8  8  8

generates a code of length 68 over Z16 who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+72x^63+291x^64+446x^65+525x^66+552x^67+500x^68+486x^69+447x^70+386x^71+216x^72+90x^73+42x^74+10x^75+12x^76+2x^77+8x^78+3x^80+1x^82+2x^83+1x^86+2x^87+1x^96

The gray image is a code over GF(2) with n=544, k=12 and d=252.
This code was found by Heurico 1.16 in 0.442 seconds.