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

generates a code of length 74 over Z16 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+164x^70+104x^71+341x^72+312x^73+384x^74+272x^75+216x^76+56x^77+84x^78+8x^79+73x^80+8x^81+8x^82+8x^84+8x^85+1x^136

The gray image is a code over GF(2) with n=592, k=11 and d=280.
This code was found by Heurico 1.16 in 1.13 seconds.