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

generates a code of length 62 over Z16 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+31x^52+90x^53+231x^54+364x^55+900x^56+944x^57+1997x^58+1664x^59+3890x^60+3558x^61+5349x^62+3684x^63+4088x^64+1744x^65+1874x^66+820x^67+725x^68+270x^69+249x^70+112x^71+78x^72+48x^73+25x^74+12x^75+8x^76+2x^77+3x^78+5x^80+2x^84

The gray image is a code over GF(2) with n=496, k=15 and d=208.
This code was found by Heurico 1.16 in 18.2 seconds.