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

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

Homogenous weight enumerator: w(x)=1x^0+228x^63+298x^64+588x^65+634x^66+1032x^67+913x^68+1190x^69+942x^70+810x^71+501x^72+384x^73+177x^74+228x^75+55x^76+110x^77+33x^78+38x^79+24x^80+5x^82+1x^102

The gray image is a code over GF(2) with n=552, k=13 and d=252.
This code was found by Heurico 1.16 in 1.37 seconds.