The generator matrix

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

generates a code of length 90 over Z16 who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+128x^83+435x^84+874x^85+991x^86+1598x^87+1779x^88+1778x^89+1600x^90+2000x^91+1499x^92+1412x^93+806x^94+632x^95+407x^96+168x^97+106x^98+52x^99+26x^100+20x^101+11x^102+36x^103+8x^104+2x^105+4x^106+4x^108+2x^109+2x^111+1x^112+2x^114

The gray image is a code over GF(2) with n=720, k=14 and d=332.
This code was found by Heurico 1.16 in 5.76 seconds.