The generator matrix

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

generates a code of length 61 over Z16 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+28x^54+394x^55+1137x^56+1974x^57+2923x^58+3436x^59+4303x^60+4788x^61+4392x^62+3276x^63+2666x^64+1700x^65+936x^66+410x^67+203x^68+110x^69+34x^70+30x^71+8x^72+2x^73+5x^74+6x^75+2x^76+2x^77+2x^78

The gray image is a code over GF(2) with n=488, k=15 and d=216.
This code was found by Heurico 1.16 in 9.28 seconds.