The generator matrix

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

generates a code of length 69 over Z16 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+90x^60+280x^61+640x^62+1314x^63+2220x^64+3454x^65+5148x^66+6732x^67+8293x^68+9300x^69+8433x^70+6846x^71+5135x^72+3352x^73+1992x^74+1040x^75+587x^76+304x^77+151x^78+94x^79+52x^80+34x^81+19x^82+4x^83+6x^84+12x^85+2x^87+1x^90

The gray image is a code over GF(2) with n=552, k=16 and d=240.
This code was found by Heurico 1.16 in 54.5 seconds.