The generator matrix

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

generates a code of length 61 over Z16 who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+332x^55+1029x^56+2062x^57+2989x^58+3710x^59+3959x^60+4788x^61+4357x^62+3714x^63+2566x^64+1542x^65+896x^66+476x^67+141x^68+120x^69+37x^70+22x^71+24x^72+1x^74+2x^75

The gray image is a code over GF(2) with n=488, k=15 and d=220.
This code was found by Heurico 1.16 in 9.4 seconds.