The generator matrix

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

generates a code of length 70 over Z16 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+139x^60+76x^61+502x^62+424x^63+1476x^64+1696x^65+3722x^66+4828x^67+6793x^68+8404x^69+9480x^70+8156x^71+7306x^72+4884x^73+3314x^74+1844x^75+1365x^76+352x^77+432x^78+44x^79+163x^80+12x^81+68x^82+29x^84+18x^86+6x^88+2x^92

The gray image is a code over GF(2) with n=560, k=16 and d=240.
This code was found by Heurico 1.16 in 59.8 seconds.