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

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

Homogenous weight enumerator: w(x)=1x^0+205x^60+414x^61+694x^62+848x^63+1522x^64+1566x^65+2032x^66+2194x^67+2074x^68+1482x^69+1292x^70+746x^71+484x^72+270x^73+264x^74+104x^75+89x^76+42x^77+38x^78+10x^79+8x^80+2x^83+2x^85+1x^96

The gray image is a code over GF(2) with n=536, k=14 and d=240.
This code was found by Heurico 1.16 in 5.18 seconds.