The generator matrix

 1  0  1  1  1 14  1  1  4  1  1  4 10  1  1  1 12  1  6  1  1  1  6  1  8  1  1 14  1  1  8  1  0  1  1  2  6  1  1  1  8  1  1  1  6  1  2  0  1  8  1  4  1  6  2  1  1  1  1  2  6  2  1  1  1 12  1
 0  1  1  0  7  1  2  3  1  6  5  1  1  4 15 10  1 15  1  8 13 10  1  5  1 11 10  1  8 15  1 11  1  8  9  1  1 10  5 10  1  5 12 15  1  7  6  1 12  1  8  2  7  1  2  6 13  5 14  4  1  1  3 13  4  1  0
 0  0  2  6  2  4 14  0  2  0  8  4  6  6  8 10  6  6  6  4  0  0  4  2  0 14 12 14 10  2 10  4 12  8  4  4  2  0  4 14  8  6  6  2  0 12  6  0  4  2  8 14 12 12  6  6 10  2 14 14  4 14  2  8  6 14  8
 0  0  0 12  0  0 12  8  0  8  0  8  0  4  0 12  8  8  8  0 12  0  4  4  4  4 12 12  8 12  4  4  4  4 12  8  4 12 12  8  8  8  0  8 12  8  8  8  8  4 12  8 12 12  4  4  4 12  0  0  8 12  0  0  8  8  8
 0  0  0  0  8  0  8  0  8  8  8  8  0  8  8  0  0  0  8  0  0  8  0  8  8  0  0  0  0  0  8  8  8  8  8  8  0  8  0  8  8  8  8  8  0  0  0  0  8  8  0  8  0  0  0  0  0  0  0  0  8  8  0  8  0  8  8
 0  0  0  0  0  8  0  0  0  0  0  8  0  8  8  8  8  8  8  8  0  8  0  0  0  0  8  0  8  8  8  0  8  8  8  0  8  0  8  0  0  8  8  0  8  8  0  8  0  0  0  8  0  0  8  0  0  0  0  8  8  8  8  8  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+68x^59+320x^60+500x^61+1242x^62+1656x^63+2522x^64+3514x^65+4247x^66+4890x^67+4046x^68+3742x^69+2543x^70+1432x^71+1025x^72+410x^73+314x^74+128x^75+71x^76+22x^77+28x^78+16x^79+8x^80+4x^81+7x^82+2x^83+7x^84+3x^86

The gray image is a code over GF(2) with n=536, k=15 and d=236.
This code was found by Heurico 1.16 in 13.9 seconds.