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

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

Homogenous weight enumerator: w(x)=1x^0+78x^60+108x^61+218x^62+328x^63+501x^64+770x^65+1134x^66+1776x^67+2164x^68+2350x^69+2238x^70+1704x^71+1091x^72+738x^73+480x^74+276x^75+164x^76+66x^77+68x^78+28x^79+26x^80+28x^81+22x^82+12x^83+6x^84+4x^85+4x^87+1x^104

The gray image is a code over GF(2) with n=552, k=14 and d=240.
This code was found by Heurico 1.16 in 6.61 seconds.