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  2  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  1  1  1  1  1  1  1  1  1  1  1
 0 12  0  4  0  0  4 12  0  0  4 12  0  0  4 12  0  0  4 12  0  4  0  4 12  8  0  8  0 12  0  0 12  4  4 12  8  8  8 12  4  8  8  8 12 12  4  8  8  4 12  8  4  8  8 12  8  8 12  4  8  4  4 12  8  0  0
 0  0 12  4  0 12  4  0  0 12  4  0  0 12  4  0  8  4 12  8  8 12  4  0  8  4  4  4  4 12  8  8 12  0 12  4  8  4  8  8  8 12  8  4  4  8  8  0  4  8 12  4  0  0  8  4 12  0 12  8 12  0 12  4  0  0  0
 0  0  0  8  0  0  8  0  8  8  0  8  8  8  0  8  8  8  8  8  8  8  0  0  8  0  8  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  8  8  8  0  0  8  8  8  8  0  8  0  8  8  0  0  8  8  8  8  0  0  8  8  0
 0  0  0  0  8  8  8  8  8  8  0  8  0  0  8  0  0  0  0  0  8  8  8  8  8  0  8  8  0  0  8  0  8  0  8  0  0  0  8  8  0  8  8  8  0  0  8  0  0  8  8  8  0  8  0  8  0  0  0  0  0  8  0  8  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+11x^64+64x^65+55x^66+768x^67+48x^68+64x^69+8x^70+4x^72+1x^130

The gray image is a code over GF(2) with n=536, k=10 and d=256.
This code was found by Heurico 1.16 in 13.4 seconds.