The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  8  1  1  1  1  1  1  1  2  0  1  4  1  2  1  0  1  1  8  1  1  1  2  1  1  1 12  2  1  1  0  1  1  1  1  4  2  1  1  1  0  2  2  2  1  8  1
 0  2  0  6  4  6 12  2  8  6  0  6  4  4  2 10 14  0 12  2 14  2 10  0  8 14  2  6 12  6  2  4  2 14 14  4  2  2  0  2  2 10 12 10  4  4  4  2  6  2 12  2  4  0  2  8  2 14 14  0  8  4  2  4 14  4  2  0
 0  0 12  0  4  0  0  0  8  4  4 12  8 12  4 12  0  0  8  8  8 12  8  4  4  4 12 12  8 12  0 12  4  4 12  8 12  8  4  8  8  4  0  4 12  8  4  8  0  8 12  8  4  4  4  4 12 12  4  4  0  0  0 12 12  8  0  0
 0  0  0 12  0  0  8 12 12 12 12  8  4 12  0  4 12  8  0 12 12  8  0  4  0  0 12  4 12  4  8  8  8  8  8 12  4  0  0  4  0 12  4  4 12  4  0  8  0  8  4  0  8  0  0  4 12  8  4  0 12  4 12  8  0  0  4  0
 0  0  0  0  8  0  8  8  0  8  0  0  8  8  0  8  8  8  0  0  0  0  8  0  0  8  0  0  0  0  0  8  8  8  0  8  8  0  8  0  8  8  0  0  0  8  0  8  8  8  8  8  0  0  0  8  8  0  0  8  0  0  0  0  8  8  8  0
 0  0  0  0  0  8  0  0  0  8  0  8  0  0  0  0  8  8  8  8  0  0  0  8  8  0  0  8  8  0  0  8  8  8  8  8  0  8  0  8  8  8  8  8  0  8  8  0  8  8  8  0  0  0  8  0  8  0  0  8  0  0  8  8  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+26x^60+158x^61+123x^62+386x^63+326x^64+660x^65+892x^66+1194x^67+951x^68+1026x^69+803x^70+668x^71+315x^72+304x^73+72x^74+170x^75+29x^76+24x^77+22x^78+8x^79+10x^80+2x^81+6x^82+4x^83+6x^84+2x^87+2x^89+1x^90+1x^98

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 1.72 seconds.