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

generates a code of length 69 over Z16 who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+84x^59+170x^60+282x^61+381x^62+790x^63+1155x^64+1602x^65+2592x^66+3150x^67+3920x^68+4618x^69+3923x^70+3184x^71+2668x^72+1570x^73+1011x^74+712x^75+329x^76+248x^77+132x^78+66x^79+59x^80+60x^81+23x^82+14x^83+17x^84+4x^85+1x^88+2x^90

The gray image is a code over GF(2) with n=552, k=15 and d=236.
This code was found by Heurico 1.16 in 36.2 seconds.