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

generates a code of length 73 over Z16 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+315x^66+352x^67+868x^68+880x^69+1380x^70+1640x^71+1874x^72+2092x^73+2045x^74+1572x^75+1117x^76+716x^77+559x^78+288x^79+340x^80+116x^81+132x^82+20x^83+51x^84+4x^85+17x^86+4x^88+1x^104

The gray image is a code over GF(2) with n=584, k=14 and d=264.
This code was found by Heurico 1.16 in 72.8 seconds.