The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  8  2  8  2  2  0  1  4  2  1  0  1  4  1  2  1  1  2  8  2  1 12  0  8  1  1  1  2 12  4  1
 0  2  0  0  0  0  0  0  0 10  6 10 14 10  2  2  8  4 12  8  6  6 10  2  4  6  4  2 10 12  4 14  0 12  0 10 14  2  0  4  2  2 10  6 12  8  2  6  4  8 12 12 10  4 14  2 10  8 10  6  2  4  0  8  4  4  4  2  4  4
 0  0  2  0  0  8 10  6  6  2  6  0  2  0  8 14 10  0  8  2 14 12  4  8  2  8  0  6  2 10 12  6  6 12  8 12  6  6  4  4 14  0  0 10  2  6  4  6 14 12  8  2  4  0 12  6  4  8  2  0  8 12  2  0 12  2  2 12  8 14
 0  0  0  2  0 10 10 10  8  2 14  8  4 10 10  8 14 10  8 12  2  0 14  0 14  6  2  8  2 12 12  4  4  8  6  4  0  4  4  2 14 14  6  8 10 12  4  8 10  8  0 14  6 10  8  2 12 12 10 14  8  8  4  2  0  2  6  4  8  6
 0  0  0  0  2  2  8 10  2 14  8 14  2  2  4 12 12 10  2  6 10  8 12  2 14  2 12 10  4  4  0  4  0  8  6  6  4 14 10 12 12  2  8  8  6  6 10  6  8  2  0  2 14 14  4  8 14  2 10  8 12  2 14  2 14  6 12  8  2  4

generates a code of length 70 over Z16 who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+258x^61+629x^62+1156x^63+1464x^64+2558x^65+3189x^66+4518x^67+6512x^68+7726x^69+9121x^70+8222x^71+6767x^72+4672x^73+3143x^74+2280x^75+1255x^76+908x^77+494x^78+354x^79+150x^80+102x^81+28x^82+14x^83+8x^84+4x^86+2x^88+1x^100

The gray image is a code over GF(2) with n=560, k=16 and d=244.
This code was found by Heurico 1.16 in 75.2 seconds.