The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+113x^64+184x^65+444x^66+156x^67+338x^68+188x^69+306x^70+156x^71+118x^72+12x^73+16x^74+8x^75+2x^78+2x^88+2x^92+2x^96

The gray image is a code over GF(2) with n=544, k=11 and d=256.
This code was found by Heurico 1.16 in 0.289 seconds.