The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+134x^60+68x^61+390x^62+424x^63+758x^64+764x^65+1094x^66+1072x^67+1073x^68+764x^69+662x^70+424x^71+314x^72+68x^73+92x^74+34x^76+24x^78+17x^80+10x^82+2x^84+2x^88+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 1.62 seconds.