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

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

Homogenous weight enumerator: w(x)=1x^0+117x^64+48x^65+256x^66+656x^67+155x^68+512x^69+80x^70+16x^71+78x^72+48x^73+64x^74+16x^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 0.327 seconds.