The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+46x^53+291x^54+990x^55+1902x^56+3634x^57+4973x^58+7626x^59+8331x^60+10250x^61+8003x^62+7854x^63+5163x^64+3378x^65+1652x^66+806x^67+321x^68+172x^69+50x^70+46x^71+20x^72+4x^73+5x^74+4x^75+6x^76+4x^77+2x^78+2x^79

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 36.3 seconds.