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

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

Homogenous weight enumerator: w(x)=1x^0+110x^83+280x^84+376x^85+523x^86+590x^87+965x^88+898x^89+1208x^90+716x^91+951x^92+404x^93+348x^94+240x^95+193x^96+130x^97+83x^98+54x^99+35x^100+42x^101+11x^102+18x^103+3x^104+4x^105+2x^106+4x^108+2x^109+1x^138

The gray image is a code over GF(2) with n=720, k=13 and d=332.
This code was found by Heurico 1.16 in 2.65 seconds.