The generator matrix

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

generates a code of length 74 over Z16 who´s minimum homogenous weight is 71.

Homogenous weight enumerator: w(x)=1x^0+350x^71+355x^72+318x^73+105x^74+322x^75+251x^76+242x^77+54x^78+32x^79+8x^81+8x^87+1x^106+1x^108

The gray image is a code over GF(2) with n=592, k=11 and d=284.
This code was found by Heurico 1.16 in 0.35 seconds.