The generator matrix

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

generates a code of length 62 over Z16 who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+168x^55+1130x^56+2398x^57+3700x^58+5284x^59+7306x^60+8380x^61+9234x^62+8102x^63+7363x^64+5490x^65+3498x^66+1778x^67+998x^68+444x^69+127x^70+66x^71+42x^72+4x^73+8x^74+10x^75+4x^77+1x^78

The gray image is a code over GF(2) with n=496, k=16 and d=220.
This code was found by Heurico 1.16 in 34.1 seconds.