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  1  1 12  0  2  1  8  1  4  1  1  1  2  1  1  1  4  1  1  2  1  1  4  1  2  2  1  0  2  1  1  4  1  0  1  2  1  0  2  1  1  1  4  1  0  1 12  1  2 12  0  2  1  4  1  1  1
 0  2  0  0  0  2  6 14  8  8 14  6 12  2  8 10  6  2 12 12  0 10  6  4  2  6  4  4 14  4  4  2 14  2  8  2  2 12  4  2  2  4  0  4 10 14 10  0 10  4 12 14 10 12  2  0 12 10  8  6  2  6  4  2  8  0  0  6  2  8  2 10  6  8  2  2 12  2 10  0  4  8  2 12  8 10  2  2 10  8
 0  0  2  0  2  2 10  0 12 14  8  2 12  4  2  2 12  8 10 12  4  6  2  6  4  0 10  0  6  6  8 14  8  6 12  4  8  6 14  6  6  8  6  2 10  2 14  0 12  2  0  6 10  2 10  2 12  0  6 12 10  0  6  2  2  2  2 10  2 12  4  2  4  2  2 14  6 12 12  2 10  2  2  2  0  0  0  0  4  8
 0  0  0  2  2  8 10  2  4  0 14 12  2 12  6 14 12 14 10  0 10  2  0  8 14  8  0  4  4 10 14  2 12  6  8 10  0 14 12 12  8  2  2  6 14  0  4  2 10  0  2 14 10  4 10  4  2  8  8 12 10  2 12  0  8  8 14 12  6  4  6  4 10 12 12  2  0  0  0 12 12  2  8 12 14  8 14 14  8 12
 0  0  0  0  8  8  0  8  8  8  0  0  8  8  0  8  8  8  8  8  0  0  0  0  0  0  8  0  8  0  8  8  8  0  0  8  0  8  0  8  8  0  0  8  0  0  0  8  8  0  8  8  0  0  8  0  0  8  8  0  0  0  8  0  0  8  8  8  8  0  8  8  0  0  8  0  8  0  8  8  8  0  8  0  0  0  8  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+115x^82+396x^83+506x^84+864x^85+900x^86+1402x^87+1510x^88+1866x^89+1897x^90+1826x^91+1293x^92+1184x^93+815x^94+592x^95+359x^96+302x^97+180x^98+174x^99+61x^100+68x^101+17x^102+26x^103+13x^104+4x^105+12x^106+1x^128

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 7.74 seconds.