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

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

Homogenous weight enumerator: w(x)=1x^0+103x^64+1088x^67+87x^70+512x^71+24x^72+192x^75+40x^78+1x^134

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 0.342 seconds.