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

generates a code of length 67 over Z16 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+382x^64+768x^66+672x^68+192x^72+32x^76+1x^128

The gray image is a code over GF(2) with n=536, k=11 and d=256.
This code was found by Heurico 1.16 in 9.57 seconds.