The generator matrix

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

generates a code of length 73 over Z16 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+380x^70+308x^71+373x^72+96x^73+286x^74+248x^75+253x^76+32x^77+17x^78+20x^79+24x^80+4x^84+4x^86+1x^102+1x^108

The gray image is a code over GF(2) with n=584, k=11 and d=280.
This code was found by Heurico 1.16 in 0.283 seconds.