The generator matrix

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

generates a code of length 73 over Z16 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+244x^69+76x^70+220x^71+132x^72+736x^73+96x^74+224x^75+56x^76+236x^77+20x^78+4x^79+1x^80+1x^96+1x^112

The gray image is a code over GF(2) with n=584, k=11 and d=276.
This code was found by Heurico 1.16 in 0.324 seconds.