The generator matrix

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

generates a code of length 73 over Z16 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+53x^66+264x^67+733x^68+960x^69+1691x^70+1424x^71+2298x^72+1652x^73+2463x^74+1580x^75+1437x^76+706x^77+580x^78+230x^79+132x^80+60x^81+53x^82+16x^83+20x^84+10x^85+4x^86+6x^87+1x^88+4x^89+2x^90+2x^92+1x^94+1x^98

The gray image is a code over GF(2) with n=584, k=14 and d=264.
This code was found by Heurico 1.16 in 4.25 seconds.