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

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

Homogenous weight enumerator: w(x)=1x^0+150x^64+448x^68+1024x^69+256x^70+112x^72+56x^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 87.1 seconds.