The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+188x^84+1026x^85+1234x^86+1470x^87+1874x^88+2018x^89+1808x^90+1936x^91+1327x^92+1072x^93+771x^94+654x^95+415x^96+284x^97+134x^98+80x^99+45x^100+26x^101+5x^102+4x^103+4x^104+6x^105+2x^108

The gray image is a code over GF(2) with n=720, k=14 and d=336.
This code was found by Heurico 1.16 in 4.04 seconds.