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

generates a code of length 76 over Z16 who´s minimum homogenous weight is 71.

Homogenous weight enumerator: w(x)=1x^0+356x^71+69x^72+352x^73+448x^74+100x^75+1524x^76+124x^77+448x^78+248x^79+65x^80+280x^81+36x^83+4x^84+12x^85+28x^87+1x^136

The gray image is a code over GF(2) with n=608, k=12 and d=284.
This code was found by Heurico 1.16 in 85.4 seconds.