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

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

Homogenous weight enumerator: w(x)=1x^0+90x^63+167x^64+236x^65+417x^66+302x^67+718x^68+358x^69+705x^70+298x^71+398x^72+126x^73+83x^74+60x^75+57x^76+36x^77+11x^78+16x^79+2x^80+10x^81+2x^83+2x^85+1x^108

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 0.725 seconds.