The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+196x^65+1170x^66+2848x^67+5038x^68+7566x^69+10495x^70+13592x^71+16371x^72+16560x^73+16616x^74+13784x^75+10925x^76+7186x^77+4271x^78+2428x^79+1161x^80+508x^81+208x^82+58x^83+35x^84+12x^85+8x^86+24x^87+5x^88+4x^89+2x^91

The gray image is a code over GF(2) with n=584, k=17 and d=260.
This code was found by Heurico 1.16 in 170 seconds.