The generator matrix

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

generates a code of length 61 over Z16 who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+180x^53+515x^54+1126x^55+1885x^56+3542x^57+4550x^58+8024x^59+8020x^60+10230x^61+7714x^62+8062x^63+4747x^64+3306x^65+1748x^66+1056x^67+350x^68+232x^69+123x^70+64x^71+31x^72+12x^73+6x^74+4x^75+6x^76+2x^77

The gray image is a code over GF(2) with n=488, k=16 and d=212.
This code was found by Heurico 1.16 in 44.7 seconds.