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

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

Homogenous weight enumerator: w(x)=1x^0+287x^60+484x^61+1274x^62+1384x^63+2352x^64+3390x^65+5082x^66+6138x^67+8295x^68+7968x^69+8795x^70+6510x^71+4899x^72+2842x^73+2347x^74+1402x^75+1024x^76+450x^77+335x^78+114x^79+95x^80+32x^81+23x^82+4x^83+6x^84+2x^85+1x^96

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 74.1 seconds.