The generator matrix

 1  0  0  1  1  1  2  1  4 10  1  1  1 10  1 14  0  1 12  1  1  6  1  4  1  1  1 14  1  1  1  1  6  1  6  1  1  2 10  1  8  0  6  1  1 12  1  6 12  1  1  0 12  1  4  8  1 10  1  2  4  0  1 10 10 12  1  0  1  1  1
 0  1  0  2  1  3  1 12  1  2  1  8 11  1  2  4  1  9  1  2 15  1  2  2  1  7  0  1 13  6 12  7  1  0  1 10  1  1  1  1  2  8  1  8  0  1  4 10 14  5  3  1  1 15  1  1 12  6  6  1  1  1  8  2  1  4 10 14  3  1  4
 0  0  1  1  3  0  5  3 15  1  1  6 10  2  6  1  5  4 10  3 13  0  4  1  2  7  1  5  3 10 11 14 11  8 14  1  5  1  7  4  1  1  8 14  1  2  2  1  1  7 14 10  8  3  8 11  1  1 11  4  5 14  7  1  2  1  0  1 15  9  4
 0  0  0  4  0  0 12  8  0 12  4 12 12  8  8 12 12  0 12  0  0  4  8  8  0 12  0  8  4  4  4  4 12  8  0  8  4  0 12 12 12  8  0 12 12  0  4  0 12  0  8 12 12  8 12  4  8  0  8  8 12  4 12  8  0  4  0  4  4  4  4
 0  0  0  0  4  8  8  0  8  0 12  8  0 12 12 12 12 12  8 12  0  4  8  4  0  4 12 12  0 12 12  4  8  4  8  0  8 12 12  0  8  4  4  4  0  4  0 12  4  0  4  0  4 12 12  0  8  4 12  4  8  8 12  8  4  0  4 12  0  0 12

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

Homogenous weight enumerator: w(x)=1x^0+78x^63+484x^64+1282x^65+2308x^66+3984x^67+5345x^68+6828x^69+7767x^70+9386x^71+8008x^72+7346x^73+5089x^74+3544x^75+2083x^76+990x^77+503x^78+256x^79+101x^80+76x^81+38x^82+12x^83+6x^84+6x^85+4x^86+4x^87+4x^88+3x^90

The gray image is a code over GF(2) with n=568, k=16 and d=252.
This code was found by Heurico 1.16 in 44.4 seconds.