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  4  1  1  1  2  1  1  2  1  1  4  1  4
 0 12  0  4  0  0  4 12  0  0  4  4  8  4  8  4  0  8  4 12  0  8 12 12  8  0  4  4  8 12  0  4  4 12 12  4  0  0  8  0  8  8 12  8  4  0 12  4  8  0 12  4  8  0  8 12 12  0 12  8  0 12  4  4  8  0  4  0 12
 0  0 12  4  0 12  4  0 12  0  4  8  0 12 12  8  4  8 12  0  0 12 12  8  4  0 12  8 12  4  8  0  4  0  4  8  0  8  8  4  4  0  4  4  4  4  8  0  4  4  8  0  4  0  0  0  8  4  0  0  8 12  4  4 12 12  4  8  8
 0  0  0  8  0  0  8  0  0  8  0  8  8  0  8  8  8  0  8  8  0  0  8  8  8  8  0  0  8  0  8  0  0  0  8  8  8  0  8  8  8  0  8  0  0  0  8  8  8  8  0  0  0  0  8  8  8  8  8  8  8  0  0  8  0  8  8  8  0
 0  0  0  0  8  0  8  8  8  8  0  8  0  8  0  0  8  0  0  0  8  8  8  8  8  8  0  0  0  8  0  8  8  0  8  0  0  0  8  0  8  8  8  0  8  0  0  8  0  8  8  0  8  0  8  8  0  0  8  8  0  0  0  0  8  8  8  8  8
 0  0  0  0  0  8  0  0  8  8  8  8  8  8  0  8  0  8  8  0  8  0  8  0  8  0  0  8  8  0  0  8  8  8  0  0  8  0  0  8  0  8  8  8  0  0  8  8  0  8  0  0  8  8  8  8  8  0  0  0  0  0  0  0  8  0  8  8  0

generates a code of length 69 over Z16 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+160x^64+64x^66+64x^67+590x^68+384x^69+448x^70+64x^71+202x^72+58x^76+12x^80+1x^128

The gray image is a code over GF(2) with n=552, k=11 and d=256.
This code was found by Heurico 1.16 in 2.05 seconds.