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

generates a code of length 73 over Z16 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+334x^68+72x^69+432x^70+416x^71+604x^72+600x^73+540x^74+344x^75+313x^76+96x^77+176x^78+8x^79+110x^80+36x^82+13x^84+1x^120

The gray image is a code over GF(2) with n=584, k=12 and d=272.
This code was found by Heurico 1.16 in 12.6 seconds.