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

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

Homogenous weight enumerator: w(x)=1x^0+66x^61+126x^62+230x^63+348x^64+516x^65+903x^66+1280x^67+1716x^68+2052x^69+2098x^70+2014x^71+1683x^72+1240x^73+851x^74+508x^75+310x^76+180x^77+80x^78+50x^79+29x^80+34x^81+28x^82+12x^83+6x^84+6x^85+8x^86+2x^87+3x^88+2x^89+1x^90+1x^98

The gray image is a code over GF(2) with n=560, k=14 and d=244.
This code was found by Heurico 1.16 in 6.8 seconds.