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

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

Homogenous weight enumerator: w(x)=1x^0+54x^82+144x^83+255x^84+314x^85+505x^86+674x^87+824x^88+960x^89+938x^90+982x^91+771x^92+618x^93+430x^94+228x^95+194x^96+110x^97+69x^98+18x^99+22x^100+22x^101+11x^102+10x^103+10x^104+6x^105+4x^106+6x^107+2x^108+2x^109+4x^110+1x^112+2x^115+1x^138

The gray image is a code over GF(2) with n=720, k=13 and d=328.
This code was found by Heurico 1.16 in 2.67 seconds.