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

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

Homogenous weight enumerator: w(x)=1x^0+118x^60+388x^62+52x^63+552x^64+280x^65+942x^66+928x^67+1902x^68+1784x^69+2610x^70+1832x^71+1908x^72+968x^73+834x^74+256x^75+418x^76+40x^77+260x^78+4x^79+175x^80+78x^82+42x^84+6x^86+3x^88+2x^90+1x^104

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 8.52 seconds.