The generator matrix

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

generates a code of length 68 over Z16 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+35x^60+100x^61+235x^62+232x^63+481x^64+428x^65+1086x^66+804x^67+1532x^68+792x^69+1026x^70+420x^71+457x^72+166x^73+185x^74+76x^75+40x^76+42x^77+18x^78+4x^79+9x^80+6x^81+5x^82+5x^84+2x^85+4x^86+1x^102

The gray image is a code over GF(2) with n=544, k=13 and d=240.
This code was found by Heurico 1.16 in 1.75 seconds.