The generator matrix

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

generates a code of length 72 over Z16 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+81x^68+302x^69+280x^70+362x^71+119x^72+352x^73+168x^74+208x^75+87x^76+50x^77+28x^78+6x^79+4x^98

The gray image is a code over GF(2) with n=576, k=11 and d=272.
This code was found by Heurico 1.16 in 0.383 seconds.