The generator matrix

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

generates a code of length 68 over Z16 who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+36x^59+105x^60+250x^61+388x^62+728x^63+696x^64+1530x^65+1219x^66+2598x^67+1385x^68+2632x^69+1213x^70+1550x^71+693x^72+636x^73+275x^74+152x^75+97x^76+54x^77+35x^78+48x^79+28x^80+18x^81+6x^82+6x^83+2x^87+2x^88+1x^92

The gray image is a code over GF(2) with n=544, k=14 and d=236.
This code was found by Heurico 1.16 in 6.46 seconds.