The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+86x^63+343x^64+394x^65+546x^66+428x^67+526x^68+498x^69+600x^70+266x^71+232x^72+88x^73+38x^74+18x^75+15x^76+6x^77+2x^81+2x^83+2x^84+4x^85+1x^92

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 0.462 seconds.