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

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

Homogenous weight enumerator: w(x)=1x^0+138x^60+32x^61+554x^62+300x^63+1041x^64+1016x^65+1916x^66+2240x^67+3572x^68+3548x^69+4174x^70+3800x^71+3544x^72+1996x^73+1838x^74+1024x^75+893x^76+308x^77+448x^78+60x^79+178x^80+12x^81+86x^82+34x^84+8x^86+4x^88+3x^92

The gray image is a code over GF(2) with n=560, k=15 and d=240.
This code was found by Heurico 1.16 in 25.1 seconds.