The generator matrix

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

generates a code of length 67 over Z16 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+99x^60+262x^61+626x^62+760x^63+1531x^64+1814x^65+2123x^66+2154x^67+2146x^68+1682x^69+1500x^70+738x^71+511x^72+210x^73+115x^74+20x^75+23x^76+20x^77+12x^78+4x^79+8x^80+8x^81+5x^82+2x^83+4x^85+2x^86+2x^87+1x^88+1x^90

The gray image is a code over GF(2) with n=536, k=14 and d=240.
This code was found by Heurico 1.16 in 3.83 seconds.