The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+217x^64+112x^65+261x^66+84x^67+700x^68+112x^69+274x^70+40x^71+200x^72+32x^73+9x^74+4x^75+1x^92+1x^100

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 0.204 seconds.