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  2  0  1  1  8  1  1  1  1  1  2  1  1  1  4  2  0  1  1  1  1  1  2  1  1  2  4  1 12  1  0  1  1 12  1  2 12  1  8  1  8  1  8  2  1
 0  2  0  6  4  6 12  2  8  0  6  6  4  4  2 10 14  0 12  2  8 10  6  2  6  4  2 14  2  2  4 12 10  4  0  6  2 14  2  0  6 14  4  4  6 12 14 10  2  8  2 12  2  4  4  2 14 10  2 14  4  6  2 12  2  6  8
 0  0 12  0  4  0  0  0  8  4  4 12  8 12  4 12  0  0  8  8  8  8  8  4 12 12 12  4  4 12  4 12  0  0  4  4 12  4  0  4  8 12 12 12  4 12  4  4 12  8 12 12  0  4  8  0  8  4  0  0 12  0  0  8  0  8  4
 0  0  0 12  0  0  8 12 12 12  4  0  4 12  8 12 12  8  0 12 12  0  0  4  4  0  8  0  8 12  8  8  0 12  4  4  8  8  8  8  0 12  4  0  4  0  4 12  0 12 12  8  8  4  0  0  8  4 12  4  0  4  0  0 12  8  8
 0  0  0  0  8  0  8  8  0  0  0  8  8  8  8  0  8  8  0  0  0  8  8  0  8  8  0  0  0  8  0  0  8  8  8  0  8  0  0  8  0  8  8  0  0  8  8  0  0  8  8  8  8  8  8  8  8  0  0  0  0  0  0  0  8  0  0
 0  0  0  0  0  8  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  0  8  8  8  8  8  0  8  0  8  0  0  8  0  8  0  0  0  8  0  0  8  8  0  0  8  0  0  8  8  8  0  8  8  0  0  8  0  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+127x^60+180x^61+370x^62+428x^63+666x^64+808x^65+902x^66+1248x^67+1008x^68+852x^69+600x^70+412x^71+241x^72+144x^73+80x^74+24x^75+47x^76+22x^78+18x^80+10x^82+2x^84+1x^88+1x^96

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 1.75 seconds.