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

generates a code of length 67 over Z16 who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+86x^59+190x^60+472x^61+416x^62+1030x^63+1033x^64+2190x^65+1458x^66+2844x^67+1609x^68+2120x^69+814x^70+884x^71+382x^72+424x^73+116x^74+130x^75+94x^76+40x^77+10x^78+14x^79+16x^80+2x^81+1x^82+4x^83+3x^84+1x^98

The gray image is a code over GF(2) with n=536, k=14 and d=236.
This code was found by Heurico 1.16 in 5.53 seconds.