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  2  2  2  2  2  4  8  1  2  4  1  2  4  2  1  2  1  1  1  1  1  4  1  2  1  1  1  2  2  1  2  2  1  2
 0 12  0  0  0  0  0  0  0  0  8  4 12 12  8  0 12 12  4  4  8  4  0 12 12  4  4  4 12  8  8  4 12  8  4 12 12  4 12 12  0  8  8  4 12  4  8 12  4  0 12  4  4  0 12  8  4  0  4 12  4 12  8 12  0  4  8 12  0  8
 0  0 12  0  0  0  0  0  0  0 12  8  4 12  4  4  4 12  0  8 12 12  4  4 12  8  0 12  0  4 12  0  8  0  8 12  4  0  8 12  8  0  8 12 12  0  8  4 12 12  4  8  4  8  4 12  0  8  0  8  4  0  8  0  4  4  0  4  8  0
 0  0  0 12  0  0  8 12 12  4  4 12  8 12 12  0  8 12 12  8  0  8 12 12 12  0  4  0  4  4  8  0 12  0  8  8 12  4  4  0  0  4  4  0  0  0  0  8  8  8  4 12 12  4 12  8 12 12  4  4  4 12  8  0  0  8 12 12  4  8
 0  0  0  0 12  0 12 12  4  8  0  0  0  0  8  0 12  4  4 12  4  0  4 12  0 12 12 12  8 12  4  0  8  0 12  8  0  8  8 12  0  4  4  8  0  4  4  4  8  0  8 12  0 12 12  4  0  4  4  0  8  4  8  8 12 12 12  8  8 12
 0  0  0  0  0 12  4  8  4  4  0  0  0  0  4  4  0  8  4  4  0  4 12 12 12  8  8 12  4  0 12  4  4  8  0  8  8  0 12  8  4 12  8  8  4  0  4  4  8  8  0 12  8 12  8  0  4  8  4  8  8  8 12  0  4  4  4  0 12  8

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

Homogenous weight enumerator: w(x)=1x^0+146x^60+8x^61+338x^62+88x^63+469x^64+324x^65+534x^66+1044x^67+1502x^68+2664x^69+2360x^70+2588x^71+1544x^72+1096x^73+404x^74+236x^75+340x^76+128x^77+234x^78+12x^79+198x^80+4x^81+86x^82+19x^84+12x^86+4x^88+1x^100

The gray image is a code over GF(2) with n=560, k=14 and d=240.
This code was found by Heurico 1.16 in 8.36 seconds.