The generator matrix

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

generates a code of length 68 over Z16 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+118x^60+442x^61+1358x^62+1958x^63+3628x^64+4676x^65+8027x^66+7918x^67+9857x^68+7786x^69+7803x^70+4496x^71+3548x^72+1856x^73+1184x^74+452x^75+234x^76+82x^77+46x^78+18x^79+15x^80+4x^81+13x^82+6x^83+7x^84+2x^85+1x^86

The gray image is a code over GF(2) with n=544, k=16 and d=240.
This code was found by Heurico 1.16 in 41.6 seconds.