The generator matrix

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

generates a code of length 68 over Z16 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+112x^64+588x^65+728x^66+644x^67+566x^68+380x^69+410x^70+208x^71+155x^72+108x^73+60x^74+108x^75+8x^76+12x^77+6x^80+1x^82+1x^90

The gray image is a code over GF(2) with n=544, k=12 and d=256.
This code was found by Heurico 1.16 in 0.281 seconds.