The generator matrix

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

generates a code of length 74 over Z16 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+157x^66+540x^67+1313x^68+2506x^69+3706x^70+5564x^71+6862x^72+8004x^73+8371x^74+8242x^75+6806x^76+5582x^77+3609x^78+2186x^79+1065x^80+508x^81+251x^82+94x^83+73x^84+30x^85+20x^86+10x^87+8x^88+8x^89+13x^90+4x^91+2x^93+1x^94

The gray image is a code over GF(2) with n=592, k=16 and d=264.
This code was found by Heurico 1.16 in 46.8 seconds.