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

generates a code of length 71 over Z16 who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+76x^63+250x^64+452x^65+611x^66+1018x^67+1356x^68+1810x^69+1648x^70+2216x^71+1860x^72+1640x^73+1074x^74+930x^75+526x^76+332x^77+244x^78+162x^79+58x^80+52x^81+35x^82+12x^83+6x^84+2x^85+4x^86+2x^87+6x^88+1x^96

The gray image is a code over GF(2) with n=568, k=14 and d=252.
This code was found by Heurico 1.16 in 5.97 seconds.