The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+134x^60+484x^61+1272x^62+2142x^63+3626x^64+5216x^65+6967x^66+8684x^67+8665x^68+8594x^69+7285x^70+5072x^71+3565x^72+1946x^73+936x^74+472x^75+249x^76+104x^77+46x^78+42x^79+8x^80+4x^81+5x^82+4x^83+8x^84+2x^85+1x^86+2x^89

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 41.7 seconds.