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

generates a code of length 91 over Z16 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+66x^80+16x^81+166x^82+56x^83+398x^84+284x^85+855x^86+560x^87+1494x^88+1312x^89+2183x^90+1728x^91+2192x^92+1208x^93+1471x^94+656x^95+802x^96+240x^97+376x^98+72x^99+124x^100+12x^101+45x^102+21x^104+15x^106+6x^108+5x^110+7x^112+4x^114+7x^116+1x^120+1x^132

The gray image is a code over GF(2) with n=728, k=14 and d=320.
This code was found by Heurico 1.16 in 10 seconds.