The generator matrix

 1  0  1  1  1  6  1 10  1  1  8  1  4  1  1  1  1 14 12  1  1  2  1  1  1  1  1  0  1 14  1  1  2  1 12  1  1  1  0  1 10  1  1 12  1  6  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  1  1  1  1 12  1 12  1  1  8  1  1  1  0  4  1  1 10  1 12  2  2
 0  1 11  6 13  1  2  1  3 12  1  5  1  7  8  9 14  1  1 13  0  1 11  6  3  0  5  1  6  1  4  1  1 10  1  7  3  5  1  4  1 10  4  1 10  1  7  9 11  5 11  5 11  3  7 13  9 13 11  5 15  2  9  5  1  7 15 11 11 15  5  0  1 10  1  9  6  1  7 11  1  1  1  3 11  1 12  1 14  1
 0  0 12  0  4  4  8  4 12  8 12 12 12  4  4  4 12  0  8  8  4  8  0 12  0  8  8 12  8  4  0  8  4  0 12  0  0  8  0  4  0 12  4  8 12  8 12 12  4 12  4  4  4  4  0  0  4  4  4  0  0  8  8  0  0 12  0  0 12 12 12  0  8  0  8  0  4  8  8  8  4  4  4  4 12  4 12  4  0  0
 0  0  0 12  0  4  4 12 12  0  8  4  8  0  8 12  0  4  8  4  4  4  4 12  0 12  8  4  0  8  4 12  8  0 12 12  8  0 12  0  0 12  4 12  8  8  0  4 12  8  0 12  0  8  4  4 12  4 12 12 12  4 12  0  8 12  8  0  8  0  8  8  8  0  0 12 12 12  4 12  0  4 12  4  4  4 12  4  4  4
 0  0  0  0  8  0  8  8  8  8  8  0  0  0  0  0  8  0  8  0  8  8  8  0  8  8  0  8  8  8  0  0  0  0  0  8  8  0  0  8  0  8  0  8  0  8  0  0  8  8  0  0  8  8  0  8  8  8  0  8  0  0  8  8  8  0  0  0  8  8  0  8  0  8  0  0  8  8  0  8  0  0  0  0  0  0  8  8  8  0

generates a code of length 90 over Z16 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+331x^84+192x^85+622x^86+632x^87+1114x^88+728x^89+1156x^90+720x^91+994x^92+592x^93+544x^94+184x^95+274x^96+24x^97+28x^98+17x^100+18x^102+15x^104+2x^108+2x^112+1x^128+1x^136

The gray image is a code over GF(2) with n=720, k=13 and d=336.
This code was found by Heurico 1.16 in 2.84 seconds.