The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+44x^52+136x^53+292x^54+460x^55+840x^56+1486x^57+3141x^58+4444x^59+7735x^60+9052x^61+10796x^62+8374x^63+7751x^64+4818x^65+3039x^66+1406x^67+827x^68+334x^69+220x^70+150x^71+60x^72+40x^73+43x^74+14x^75+17x^76+6x^77+4x^78+4x^80+1x^82+1x^84

The gray image is a code over GF(2) with n=496, k=16 and d=208.
This code was found by Heurico 1.16 in 50.1 seconds.