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

generates a code of length 67 over Z16 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+200x^60+76x^61+404x^62+268x^63+815x^64+684x^65+1170x^66+1012x^67+1244x^68+716x^69+702x^70+244x^71+354x^72+52x^73+130x^74+12x^75+56x^76+8x^77+22x^78+14x^80+4x^82+3x^84+1x^100

The gray image is a code over GF(2) with n=536, k=13 and d=240.
This code was found by Heurico 1.16 in 59.1 seconds.