The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  8  1  1  1  1  1  1  1  8  1  1
 0  2 12  6  0  6 12 10  0  6 10 12  8 14  4 10  0  6 10 12  6  0 12 10  6  0 10 12 14  8  4  2  0  6  0 14 12 10 12  2  6  4 10  8  8 14  4  2  0  8  0  8  6 14  6 14 12  8 12  4  4 10 10  2  2  8  0  0
 0  0  8  0  0  0  8  0  0  0  0  8  0  0  8  0  0  8  8  0  8  0  0  8  8  8  8  8  8  8  8  8  0  0  8  8  0  0  0  8  0  0  0  8  0  8  0  8  8  8  8  8  0  8  8  0  0  0  0  8  8  0  8  8  0  0  0  0
 0  0  0  8  0  0  0  8  0  0  0  0  0  8  0  8  8  8  8  8  8  8  8  8  0  8  0  8  0  8  8  0  8  0  0  8  0  8  8  8  0  0  8  0  8  8  8  8  8  0  8  0  8  0  0  8  0  0  0  8  8  0  0  0  0  0  0  0
 0  0  0  0  8  0  8  0  0  8  8  8  8  8  0  8  8  0  0  8  8  0  0  8  8  0  8  0  0  8  8  0  8  0  0  8  0  8  0  8  8  8  0  8  0  0  8  0  0  8  8  0  8  0  8  0  0  0  8  8  0  0  8  0  8  0  0  0
 0  0  0  0  0  8  0  8  8  8  0  8  8  0  8  8  0  0  8  8  0  8  0  8  0  0  8  8  0  8  0  8  8  0  0  8  8  0  8  0  0  0  0  8  0  8  0  0  8  0  0  8  8  8  8  8  0  0  8  8  0  8  0  0  8  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+103x^64+1088x^66+87x^68+512x^70+24x^72+192x^74+40x^76+1x^132

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 0.328 seconds.