The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+80x^61+790x^62+2544x^63+4840x^64+8734x^65+14571x^66+20642x^67+27494x^68+33634x^69+35519x^70+33068x^71+28110x^72+21672x^73+14315x^74+8156x^75+4364x^76+2110x^77+897x^78+342x^79+113x^80+70x^81+46x^82+14x^83+6x^84+4x^85+6x^86+2x^87

The gray image is a code over GF(2) with n=560, k=18 and d=244.
This code was found by Heurico 1.16 in 636 seconds.