The generator matrix

 1  0  1  1  1  6  1  1 12  1 10  1  1  1  0  1  6  1  1  1 12  1  1 10  1  1  0  1  1  6  1  1 10  1  1 12  1  1  0  1  1  6  1  1 12  1  2  2 12  4  1 12 10  2  2  4  1  0 12  1  1 10  1  1 14  1  1  8  1
 0  1  3  6  5  1 12 15  1 10  1  9  5  0  1  6  1  3 12 15  1 10  9  1  0  3  1  6  5  1 12 15  1 10  9  1  6  3  1  0  5  1 12 15  1 10 10  2  2  2  9  2  1  0  8  2  6  1  1 10  3  1  0  5  1 13  9  1  0
 0  0  8  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  8  0  0  0  8  0  0  0  0  8  0  8  0  8  8  8  8  8  8  8  0  8  0  0  8  0  0  8  0  0  8  8  8  0  0  8  8  0  0  0  8  8  8  8  8  0
 0  0  0  8  0  0  0  0  8  8  8  8  8  8  8  8  0  8  0  8  8  0  0  0  8  8  0  8  0  0  8  0  8  0  0  8  0  0  0  0  8  8  8  8  0  0  0  0  0  8  8  8  8  8  8  0  0  8  8  8  0  8  0  0  8  8  0  0  0
 0  0  0  0  8  0  0  8  0  0  0  8  8  8  8  8  8  0  8  0  8  8  0  8  0  8  0  8  8  0  0  8  8  0  0  0  8  0  8  8  0  8  8  8  8  0  8  0  8  8  0  8  0  0  0  0  8  8  0  0  0  8  8  8  0  8  8  0  8
 0  0  0  0  0  8  8  8  8  8  0  0  8  8  8  0  0  8  0  0  0  8  8  8  8  0  8  8  8  0  0  0  8  0  0  0  0  8  0  8  0  0  0  8  8  8  8  8  0  0  8  8  8  0  8  0  8  8  0  8  0  0  0  0  8  8  0  8  8

generates a code of length 69 over Z16 who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+16x^63+159x^64+312x^65+430x^66+320x^67+610x^68+544x^69+524x^70+272x^71+374x^72+280x^73+192x^74+32x^75+6x^76+16x^77+4x^78+1x^80+2x^82+1x^112

The gray image is a code over GF(2) with n=552, k=12 and d=252.
This code was found by Heurico 1.16 in 0.386 seconds.