The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+558x^55+2187x^56+4154x^57+7744x^58+10162x^59+14422x^60+16996x^61+18288x^62+17542x^63+14931x^64+10056x^65+7342x^66+3776x^67+1838x^68+646x^69+252x^70+88x^71+52x^72+18x^73+6x^74+2x^75+8x^76+2x^77+1x^88

The gray image is a code over GF(2) with n=496, k=17 and d=220.
This code was found by Heurico 1.16 in 183 seconds.