The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+70x^52+224x^53+598x^54+1036x^55+2158x^56+3250x^57+5065x^58+7314x^59+7905x^60+10104x^61+8281x^62+7542x^63+5002x^64+3086x^65+1907x^66+946x^67+555x^68+218x^69+125x^70+54x^71+43x^72+8x^73+24x^74+4x^75+10x^76+6x^77

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 45.7 seconds.