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

generates a code of length 83 over Z16 who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+40x^73+203x^74+404x^75+639x^76+1008x^77+1380x^78+1890x^79+2443x^80+3156x^81+3624x^82+3566x^83+3503x^84+3094x^85+2472x^86+1890x^87+1285x^88+800x^89+524x^90+318x^91+192x^92+132x^93+62x^94+52x^95+29x^96+20x^97+20x^98+8x^99+2x^100+6x^101+2x^102+2x^104+1x^106

The gray image is a code over GF(2) with n=664, k=15 and d=292.
This code was found by Heurico 1.16 in 27.6 seconds.