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

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

Homogenous weight enumerator: w(x)=1x^0+318x^64+48x^65+578x^66+272x^67+747x^68+400x^69+702x^70+240x^71+368x^72+64x^73+194x^74+91x^76+58x^78+9x^80+4x^82+1x^84+1x^108

The gray image is a code over GF(2) with n=552, k=12 and d=256.
This code was found by Heurico 1.16 in 3.08 seconds.