The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+233x^82+964x^83+1747x^84+3052x^85+3949x^86+5664x^87+6086x^88+7822x^89+7378x^90+7484x^91+6192x^92+5404x^93+3699x^94+2662x^95+1417x^96+884x^97+381x^98+264x^99+94x^100+64x^101+36x^102+30x^103+10x^104+6x^105+2x^106+4x^107+5x^108+2x^110

The gray image is a code over GF(2) with n=720, k=16 and d=328.
This code was found by Heurico 1.16 in 58.4 seconds.