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

generates a code of length 61 over Z16 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+245x^52+440x^53+932x^54+1208x^55+2281x^56+3236x^57+4595x^58+6752x^59+8124x^60+9332x^61+8628x^62+7128x^63+4885x^64+3028x^65+1950x^66+1232x^67+758x^68+340x^69+241x^70+64x^71+73x^72+8x^73+31x^74+16x^76+6x^78+1x^84+1x^86

The gray image is a code over GF(2) with n=488, k=16 and d=208.
This code was found by Heurico 1.16 in 64.7 seconds.