The generator matrix

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

generates a code of length 73 over Z16 who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+342x^67+613x^68+1256x^69+1341x^70+2006x^71+1658x^72+2402x^73+1522x^74+2058x^75+1145x^76+966x^77+442x^78+290x^79+88x^80+102x^81+61x^82+32x^83+30x^84+10x^85+8x^86+8x^87+1x^88+1x^90+1x^94

The gray image is a code over GF(2) with n=584, k=14 and d=268.
This code was found by Heurico 1.16 in 3.9 seconds.