The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  4  1  2  1  2  1  1  2 12 12  1  2  1  1  1 12  1  1  1  4  2  1  2  1  1  2  0  1  4  1 12  1  1  1  1  1  2  1  1  1  1  4  0  2 12  1  1  1  1  1  1  2  1  1  8 12
 0  2  0  2  0  8  6 14  0  0  2  6 10  8  0  6  4  4 14 10 10 14 12  4  8 14 12 14  4  2  2  0 10  8  8  4  0  6 14  8  4 14  2  2 12  2 14  0 14 12  2 14  4  8 10 10  8 12 10 14  2  0  4  4  2  2  4  0 10  2  2 10 12 10  4  2  2 10 12  6 10  6 14 12 10 14 10  6  2  2
 0  0  2  2  0  6 14  8  0  2 10  0  0  8  6  6 14 12 10  8 12  2  0 10 14  8 12  6 14  2  0 12  6 14  2  2 14  4 14 12  2  8  4 14  2 10 10  0  4  2 12 10  4  2  6  2 14  2  6  2  6 10  2  2  2  4 14  4 14 10  6  8 10 10  6  4  4  2  2  8  6  2  4  4  8 10  4 10  2 10
 0  0  0  4  0  0 12  0 12 12  8 12 12 12 12  0  4 12  8  4 12  4  8  8  8  0  8  4  4  0  8  4  0  8  8  4  8  4  4  8 12  0 12  4  0  0  4  4 12  4  4  4  8  0  4  0 12 12  8  8  4  4  0  4  4  0  8  0  0 12  8  0  0 12  4  8  8  4  8  4  8  0  4  0  4  8  8  0  0  8
 0  0  0  0 12  4  4  4 12  8  8  4  8  8  4  4  0  4  0 12  0 12  0  4  0  8  4  0  4 12 12 12  4  8  4  4  4  4  0  0  0 12  8  4  0  0  4  0  4  0  4  8 12  8 12  8  4  8 12  0  8  0  8 12  8  0  0  0 12  4 12  8  4  8 12  0  4 12  4  0  8 12  0  4  0  8  4  8  8  4

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

Homogenous weight enumerator: w(x)=1x^0+200x^82+280x^83+627x^84+736x^85+842x^86+1316x^87+1480x^88+2076x^89+1610x^90+2108x^91+1386x^92+1332x^93+818x^94+472x^95+351x^96+216x^97+182x^98+100x^99+93x^100+52x^101+54x^102+12x^103+21x^104+4x^105+4x^106+5x^108+2x^110+3x^112+1x^132

The gray image is a code over GF(2) with n=720, k=14 and d=328.
This code was found by Heurico 1.16 in 8.26 seconds.