The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+244x^68+6x^72+4x^76+1x^80

The gray image is a code over GF(2) with n=544, k=8 and d=272.
This code was found by Heurico 1.16 in 0.123 seconds.