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

generates a code of length 90 over Z16 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+168x^80+40x^81+166x^82+192x^83+586x^84+504x^85+800x^86+1384x^87+1203x^88+2504x^89+1396x^90+2472x^91+1223x^92+1384x^93+744x^94+504x^95+507x^96+176x^97+214x^98+56x^99+96x^100+8x^102+28x^104+13x^108+12x^112+1x^116+1x^120+1x^132

The gray image is a code over GF(2) with n=720, k=14 and d=320.
This code was found by Heurico 1.16 in 10 seconds.