The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+186x^82+502x^83+860x^84+1448x^85+2254x^86+2740x^87+3101x^88+3710x^89+3746x^90+3540x^91+3186x^92+2628x^93+2034x^94+1128x^95+629x^96+446x^97+208x^98+144x^99+116x^100+48x^101+42x^102+40x^103+8x^104+8x^105+8x^106+2x^107+2x^108+2x^110+1x^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 19.3 seconds.