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

generates a code of length 73 over Z16 who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+72x^65+274x^66+412x^67+777x^68+816x^69+1493x^70+1582x^71+1923x^72+2014x^73+1900x^74+1596x^75+1354x^76+730x^77+578x^78+274x^79+225x^80+100x^81+110x^82+60x^83+36x^84+10x^85+25x^86+12x^87+3x^88+2x^89+4x^90+1x^100

The gray image is a code over GF(2) with n=584, k=14 and d=260.
This code was found by Heurico 1.16 in 6.21 seconds.