The generator matrix

 1  0  1  1  6  1  4  1  1  1  1 10  1 10  1  1  1  1  0  1 12  1  1  2 12  1  4  1  1  6  1  1  1  1  0 10  1  1  1  2 10  1  1  1  8  1  0  1  1  6  1  1  1  2  1  1  6  1  1  2  1 10  1 12  1 10  1
 0  1  1  6  1  7  1  4 13 11  2  1 12  1 11 14  1 12  1 13  1 14  7  1  1  3  1 13  9  1  6 10  3  4  1  1  4  5  3  1  1  9  7 14 12  5  2  8  4  1  0 10 13 12  7  8  1 11  9 12  8  1  4  1  5  1  0
 0  0  2  0  0  2 10 10  4  4 10  6  8  8 10  2  4 14 14  2  0 12 12  2 14  6  4 10  8 10  6  8 14  2  8  8 12  8  8 12 14  6 12  6  2  8  6 12  6 10  6  6 14 14 10 14 12  4 14 10 12 12  8  6 12 10  0
 0  0  0  8  0  0  8  0  8  8  0  8  8  0  0  0  8  0  8  0  8  0  0  0  0  8  8  8  0  0  8  0  8  8  8  8  8  0  0  8  8  0  0  8  0  8  8  8  8  8  0  0  8  8  0  0  0  0  0  0  0  0  0  8  8  0  0
 0  0  0  0  8  0  0  0  0  8  8  8  8  8  8  8  0  0  0  8  8  8  8  8  0  8  8  8  8  0  8  0  0  0  0  0  0  0  8  0  8  8  0  0  0  8  8  8  0  0  8  0  8  8  0  0  0  8  8  8  0  0  8  0  8  0  0
 0  0  0  0  0  8  8  0  8  8  0  8  0  8  8  8  0  8  0  0  8  0  8  8  0  8  0  0  0  8  0  8  0  8  0  8  8  0  0  0  0  8  8  8  8  8  8  8  0  8  0  8  8  0  0  0  8  0  0  0  8  0  8  8  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+50x^60+292x^61+548x^62+1106x^63+1194x^64+2034x^65+2143x^66+2362x^67+1746x^68+1786x^69+1120x^70+972x^71+405x^72+288x^73+146x^74+90x^75+51x^76+14x^77+6x^78+14x^79+8x^80+2x^81+3x^82+1x^84+2x^86

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 3.59 seconds.