The generator matrix

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

generates a code of length 90 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+180x^82+320x^83+875x^84+1348x^85+2172x^86+2648x^87+3528x^88+3860x^89+3810x^90+3392x^91+3306x^92+2836x^93+1908x^94+944x^95+738x^96+348x^97+172x^98+112x^99+99x^100+56x^101+60x^102+8x^103+22x^104+16x^106+4x^108+1x^112+2x^114+2x^120

The gray image is a code over GF(2) with n=720, k=15 and d=328.
This code was found by Heurico 1.16 in 20.6 seconds.