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

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

Homogenous weight enumerator: w(x)=1x^0+57x^60+244x^61+409x^62+768x^63+946x^64+1384x^65+1574x^66+2024x^67+1878x^68+2076x^69+1485x^70+1262x^71+824x^72+566x^73+317x^74+254x^75+119x^76+80x^77+47x^78+42x^79+13x^80+4x^82+2x^83+2x^84+3x^86+2x^89+1x^90

The gray image is a code over GF(2) with n=544, k=14 and d=240.
This code was found by Heurico 1.16 in 5.69 seconds.