The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+49x^60+130x^61+233x^62+546x^63+967x^64+1716x^65+2619x^66+3438x^67+4342x^68+4824x^69+4405x^70+3432x^71+2608x^72+1634x^73+862x^74+464x^75+149x^76+108x^77+80x^78+54x^79+35x^80+34x^81+22x^82+2x^83+8x^84+2x^85+2x^86+1x^90+1x^96

The gray image is a code over GF(2) with n=552, k=15 and d=240.
This code was found by Heurico 1.16 in 15.4 seconds.