The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+107x^84+448x^85+605x^86+846x^87+744x^88+1178x^89+806x^90+920x^91+664x^92+732x^93+481x^94+350x^95+121x^96+90x^97+18x^98+20x^99+8x^100+16x^101+8x^102+8x^103+16x^104+1x^106+2x^108+1x^122+1x^124

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 1.86 seconds.