The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+90x^69+311x^70+214x^71+399x^72+138x^73+331x^74+150x^75+253x^76+92x^77+44x^78+20x^79+2x^88+1x^92+1x^94+1x^98

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 0.365 seconds.